Atkin-Lehner |
2- 3+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350ca |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
920640 |
Modular degree for the optimal curve |
Δ |
-3426720000000000 = -1 · 214 · 3 · 510 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-173138,-27943969] |
[a1,a2,a3,a4,a6] |
j |
-58776133726825/350896128 |
j-invariant |
L |
3.2754764509272 |
L(r)(E,1)/r! |
Ω |
0.11698130609923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97350bk1 |
Quadratic twists by: 5 |