Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200y |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95800320 |
Modular degree for the optimal curve |
Δ |
-5.4634447248108E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 13- 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2771987433,-56174156318763] |
[a1,a2,a3,a4,a6] |
Generators |
[15392208805618355217024528563427829674075893464756494859945157452316231329955161228353439556822112061213234057042254416232581297792039033427033138747276715869901262918676:5735795654135850200699377516847884420866954558351518859244792976634147987399380300816006531849447330507463288595007799418847004289961358736700563571203818769120480387210977:97064089883980610847920847238385357328342922050200973298117582309516337193337080210690194196366733061018410741637046342741072261099481330099240003019300207289925961] |
Generators of the group modulo torsion |
j |
-588894491652244161881463808/13658611812026920011 |
j-invariant |
L |
5.2846955356237 |
L(r)(E,1)/r! |
Ω |
0.010403300430169 |
Real period |
R |
253.99129685318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54600ci1 4368h1 |
Quadratic twists by: -4 5 |