Atkin-Lehner |
3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
50025p |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-31011591796875 = -1 · 32 · 510 · 233 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -5 6 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3333,276869] |
[a1,a2,a3,a4,a6] |
Generators |
[419:8521:1] |
Generators of the group modulo torsion |
j |
-419430400/3175587 |
j-invariant |
L |
6.931063426753 |
L(r)(E,1)/r! |
Ω |
0.56615893357428 |
Real period |
R |
6.1211287288395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50025k1 |
Quadratic twists by: 5 |