Atkin-Lehner |
5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25075h |
Isogeny class |
Conductor |
25075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
25075 = 52 · 17 · 59 |
Discriminant |
Eigenvalues |
1 1 5+ 0 -6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21,33] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:31:8] [3:-1:1] |
Generators of the group modulo torsion |
j |
38226865/1003 |
j-invariant |
L |
10.255616495319 |
L(r)(E,1)/r! |
Ω |
3.7647004526638 |
Real period |
R |
2.7241520605082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25075j1 |
Quadratic twists by: 5 |