Atkin-Lehner |
2+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30752a |
Isogeny class |
Conductor |
30752 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
54585026396224 = 26 · 318 |
Discriminant |
Eigenvalues |
2+ 1 1 -1 3 -3 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9930,-140128] |
[a1,a2,a3,a4,a6] |
Generators |
[2874:3844:27] |
Generators of the group modulo torsion |
j |
1984 |
j-invariant |
L |
7.0036412495779 |
L(r)(E,1)/r! |
Ω |
0.50424105725181 |
Real period |
R |
2.3149117367755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30752c1 61504e1 30752b1 |
Quadratic twists by: -4 8 -31 |