Atkin-Lehner |
2+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75400f |
Isogeny class |
Conductor |
75400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
36953540000000 = 28 · 57 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 2 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92508,-10794988] |
[a1,a2,a3,a4,a6] |
Generators |
[53994:2384200:27] |
Generators of the group modulo torsion |
j |
21888010612816/9238385 |
j-invariant |
L |
9.6408588344017 |
L(r)(E,1)/r! |
Ω |
0.27375706858654 |
Real period |
R |
5.8694733024177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15080i1 |
Quadratic twists by: 5 |