Atkin-Lehner |
2- 3- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
31356h |
Isogeny class |
Conductor |
31356 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-4888632932082432 = -1 · 28 · 310 · 136 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 0 6 13- 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33576,2389268] |
[a1,a2,a3,a4,a6] |
j |
22430713438208/26195092443 |
j-invariant |
L |
3.4648084512568 |
L(r)(E,1)/r! |
Ω |
0.28873403760468 |
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 |
125424ba1 10452a1 |
Quadratic twists by: -4 -3 |