Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230do |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
8870400 |
Modular degree for the optimal curve |
Δ |
-2.5738621615379E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43396673,110073404081] |
[a1,a2,a3,a4,a6] |
j |
-57839429434456681/16470860000 |
j-invariant |
L |
4.2328662265511 |
L(r)(E,1)/r! |
Ω |
0.14109554176321 |
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 |
8470k1 76230bi1 |
Quadratic twists by: -3 -11 |