Atkin-Lehner |
3+ 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10005c |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
250125 = 3 · 53 · 23 · 29 |
Discriminant |
Eigenvalues |
2 3+ 5+ 1 -2 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:19:8] |
Generators of the group modulo torsion |
j |
481890304/250125 |
j-invariant |
L |
7.0696916014728 |
L(r)(E,1)/r! |
Ω |
2.513497523123 |
Real period |
R |
2.8126908964242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30015i1 50025q1 |
Quadratic twists by: -3 5 |