Atkin-Lehner |
5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
25175a |
Isogeny class |
Conductor |
25175 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
25175 = 52 · 19 · 53 |
Discriminant |
Eigenvalues |
1 2 5+ -2 6 -4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10,-15] |
[a1,a2,a3,a4,a6] |
j |
5151505/1007 |
j-invariant |
L |
2.686968379642 |
L(r)(E,1)/r! |
Ω |
2.6869683796423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25175e1 |
Quadratic twists by: 5 |