Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30752b |
Isogeny class |
Conductor |
30752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
61504 = 26 · 312 |
Discriminant |
Eigenvalues |
2+ -1 1 -1 -3 3 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10,8] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] [-1:4:1] |
Generators of the group modulo torsion |
j |
1984 |
j-invariant |
L |
7.1919111689953 |
L(r)(E,1)/r! |
Ω |
3.0985291509627 |
Real period |
R |
1.1605363091002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30752g1 61504n1 30752a1 |
Quadratic twists by: -4 8 -31 |