Atkin-Lehner |
2+ 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7590n |
Isogeny class |
Conductor |
7590 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
-7028209439856000 = -1 · 27 · 315 · 53 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54953,-6396244] |
[a1,a2,a3,a4,a6] |
j |
-18352133968183956361/7028209439856000 |
j-invariant |
L |
2.2949987349925 |
L(r)(E,1)/r! |
Ω |
0.15299991566617 |
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 |
60720bq1 22770bk1 37950cc1 83490cp1 |
Quadratic twists by: -4 -3 5 -11 |