Atkin-Lehner |
2- 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11590r |
Isogeny class |
Conductor |
11590 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
53360 |
Modular degree for the optimal curve |
Δ |
7243750 = 2 · 55 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 3 5- -4 4 -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46917,3923191] |
[a1,a2,a3,a4,a6] |
j |
11421042222518756001/7243750 |
j-invariant |
L |
7.250250254241 |
L(r)(E,1)/r! |
Ω |
1.4500500508482 |
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 |
92720z1 104310o1 57950p1 |
Quadratic twists by: -4 -3 5 |