Atkin-Lehner |
3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
50025q |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
3908203125 = 3 · 59 · 23 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 -2 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-408,-1156] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:37:1] |
Generators of the group modulo torsion |
j |
481890304/250125 |
j-invariant |
L |
3.2564573973801 |
L(r)(E,1)/r! |
Ω |
1.1240702645961 |
Real period |
R |
1.4485114943278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10005c1 |
Quadratic twists by: 5 |