Atkin-Lehner |
2- 3+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
39192h |
Isogeny class |
Conductor |
39192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
10971251712 = 210 · 38 · 23 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 0 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-760,6556] |
[a1,a2,a3,a4,a6] |
j |
47471816164/10714113 |
j-invariant |
L |
1.2053196543825 |
L(r)(E,1)/r! |
Ω |
1.2053196543845 |
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 |
78384c1 117576d1 |
Quadratic twists by: -4 -3 |