Atkin-Lehner |
3+ 5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
50025k |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-1984741875 = -1 · 32 · 54 · 233 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 -5 -6 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-133,2268] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:34:1] [32:172:1] |
Generators of the group modulo torsion |
j |
-419430400/3175587 |
j-invariant |
L |
5.7783320636458 |
L(r)(E,1)/r! |
Ω |
1.2659698615409 |
Real period |
R |
0.25357511085582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50025p1 |
Quadratic twists by: 5 |