Atkin-Lehner |
2- 3+ 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274be |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1602048 |
Modular degree for the optimal curve |
Δ |
2538232366731264 = 212 · 33 · 77 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1494656,-702953309] |
[a1,a2,a3,a4,a6] |
j |
13676766271590059472771/94008606175232 |
j-invariant |
L |
1.6384966601236 |
L(r)(E,1)/r! |
Ω |
0.13654142909284 |
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 |
113274a1 |
Quadratic twists by: -3 |