Atkin-Lehner |
2- 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512bd |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-102806139921408 = -1 · 210 · 37 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- -3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11013,200230] |
[a1,a2,a3,a4,a6] |
j |
197885122844/137718273 |
j-invariant |
L |
1.5098252674083 |
L(r)(E,1)/r! |
Ω |
0.37745618018655 |
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 |
42504f1 |
Quadratic twists by: -3 |