Atkin-Lehner |
3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
5925i |
Isogeny class |
Conductor |
5925 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
44400 |
Modular degree for the optimal curve |
Δ |
-34981065854296875 = -1 · 315 · 58 · 792 |
Discriminant |
Eigenvalues |
0 3- 5- -1 6 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,57417,7294619] |
[a1,a2,a3,a4,a6] |
j |
53589240872960/89551528587 |
j-invariant |
L |
2.5107997353397 |
L(r)(E,1)/r! |
Ω |
0.25107997353397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94800bv1 17775bf1 5925a1 |
Quadratic twists by: -4 -3 5 |