Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312o |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-2546910729216 = -1 · 210 · 36 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35427,-2567698] |
[a1,a2,a3,a4,a6] |
j |
-55990084/29 |
j-invariant |
L |
0.69595696624686 |
L(r)(E,1)/r! |
Ω |
0.17398927264521 |
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 |
11368k1 2088d1 |
Quadratic twists by: -3 -7 |