Atkin-Lehner |
3- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38325o |
Isogeny class |
Conductor |
38325 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
594048 |
Modular degree for the optimal curve |
Δ |
39616472687612625 = 313 · 53 · 7 · 734 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 2 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1153646,-476932237] |
[a1,a2,a3,a4,a6] |
j |
1358409942974674024973/316931781500901 |
j-invariant |
L |
3.787571910193 |
L(r)(E,1)/r! |
Ω |
0.14567584270012 |
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 |
114975bi1 38325h1 |
Quadratic twists by: -3 5 |