Atkin-Lehner |
2+ 3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494s |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-591439103080056 = -1 · 23 · 315 · 72 · 113 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9009,1120581] |
[a1,a2,a3,a4,a6] |
j |
110917182199823/811301924664 |
j-invariant |
L |
1.5027619956582 |
L(r)(E,1)/r! |
Ω |
0.37569067069285 |
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 |
36498bo1 |
Quadratic twists by: -3 |