Atkin-Lehner |
3- 5+ 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
30885f |
Isogeny class |
Conductor |
30885 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-6121310484375 = -1 · 38 · 56 · 292 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2131,124736] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:410:1] |
Generators of the group modulo torsion |
j |
-1070253849563569/6121310484375 |
j-invariant |
L |
3.9902555272974 |
L(r)(E,1)/r! |
Ω |
0.65260721206212 |
Real period |
R |
0.76429118724587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92655k1 |
Quadratic twists by: -3 |