Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7590l |
Isogeny class |
Conductor |
7590 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
39600 |
Modular degree for the optimal curve |
Δ |
-43724547900000 = -1 · 25 · 33 · 55 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-87544,9967526] |
[a1,a2,a3,a4,a6] |
j |
-74198604874520830969/43724547900000 |
j-invariant |
L |
1.9009190237962 |
L(r)(E,1)/r! |
Ω |
0.63363967459873 |
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 |
60720bi1 22770br1 37950bz1 83490ci1 |
Quadratic twists by: -4 -3 5 -11 |