Atkin-Lehner |
2+ 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560c |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
380020723320480000 = 28 · 3 · 54 · 113 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-799356,273742656] |
[a1,a2,a3,a4,a6] |
j |
220650546558063400144/1484455950470625 |
j-invariant |
L |
1.8157844980778 |
L(r)(E,1)/r! |
Ω |
0.30263074751815 |
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 |
38280k1 |
Quadratic twists by: -4 |