Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450di |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
71878458132000000 = 28 · 314 · 56 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4000055,-3078237553] |
[a1,a2,a3,a4,a6] |
Generators |
[-1157:646:1] |
Generators of the group modulo torsion |
j |
621403856941038625/6310317312 |
j-invariant |
L |
12.420676562949 |
L(r)(E,1)/r! |
Ω |
0.10675379852075 |
Real period |
R |
3.6359000624412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150s2 3978a2 |
Quadratic twists by: -3 5 |