Atkin-Lehner |
3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975d |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
5870390625 = 33 · 57 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1525,22000] |
[a1,a2,a3,a4,a6] |
Generators |
[36:106:1] |
Generators of the group modulo torsion |
j |
25128011089/375705 |
j-invariant |
L |
4.6936883737843 |
L(r)(E,1)/r! |
Ω |
1.3507042633563 |
Real period |
R |
3.4749933802099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56925l1 3795h1 |
Quadratic twists by: -3 5 |