Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312be |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
56549377284624 = 24 · 36 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93639,11022991] |
[a1,a2,a3,a4,a6] |
j |
1350399232/841 |
j-invariant |
L |
2.4826855821475 |
L(r)(E,1)/r! |
Ω |
0.62067140822771 |
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 |
11368a1 102312bx1 |
Quadratic twists by: -3 -7 |