Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850ca |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-65574611375000 = -1 · 23 · 56 · 79 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5538,-422969] |
[a1,a2,a3,a4,a6] |
j |
-29791/104 |
j-invariant |
L |
3.0490173420876 |
L(r)(E,1)/r! |
Ω |
0.25408477850784 |
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 |
1274b1 31850bt1 |
Quadratic twists by: 5 -7 |