Atkin-Lehner |
2- 7- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
30212b |
Isogeny class |
Conductor |
30212 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5880 |
Modular degree for the optimal curve |
Δ |
1571024 = 24 · 7 · 132 · 83 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-189,-1064] |
[a1,a2,a3,a4,a6] |
j |
46912110592/98189 |
j-invariant |
L |
0.64360202363709 |
L(r)(E,1)/r! |
Ω |
1.2872040472799 |
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 |
120848g1 |
Quadratic twists by: -4 |