Atkin-Lehner |
3+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
50025d |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-106145196075 = -1 · 32 · 52 · 23 · 295 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 -3 -2 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-713,17543] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:154:1] [13:101:1] |
Generators of the group modulo torsion |
j |
-1605688360960/4245807843 |
j-invariant |
L |
7.0794627967584 |
L(r)(E,1)/r! |
Ω |
0.93467641927468 |
Real period |
R |
0.75742392241482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50025y1 |
Quadratic twists by: 5 |