Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530bs |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
637932029856000 = 28 · 3 · 53 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22206,372219] |
[a1,a2,a3,a4,a6] |
j |
683565019129/360096000 |
j-invariant |
L |
3.5995499199206 |
L(r)(E,1)/r! |
Ω |
0.44994374816272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230d1 |
Quadratic twists by: -11 |