Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bp |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2336256 |
Modular degree for the optimal curve |
Δ |
-678522264569296875 = -1 · 32 · 57 · 7 · 1310 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -3 13+ -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-238008,59654144] |
[a1,a2,a3,a4,a6] |
j |
-692224/315 |
j-invariant |
L |
1.072341758356 |
L(r)(E,1)/r! |
Ω |
0.26808543055723 |
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 |
17745l1 88725bv1 |
Quadratic twists by: 5 13 |