Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600em |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-2927483596800 = -1 · 212 · 35 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35933,-2611083] |
[a1,a2,a3,a4,a6] |
Generators |
[154286344421:3077639917388:318611987] |
Generators of the group modulo torsion |
j |
-425920000/243 |
j-invariant |
L |
6.3797904590338 |
L(r)(E,1)/r! |
Ω |
0.17337254371107 |
Real period |
R |
18.399079584556 |
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 |
117600cr1 117600du1 2400bc1 |
Quadratic twists by: -4 5 -7 |