Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162j |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-399362099089411584 = -1 · 29 · 38 · 7 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21291,30383008] |
[a1,a2,a3,a4,a6] |
j |
62851031/23514624 |
j-invariant |
L |
1.8621880158032 |
L(r)(E,1)/r! |
Ω |
0.2327735019754 |
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 |
121296cc1 45486bb1 106134b1 15162q1 |
Quadratic twists by: -4 -3 -7 -19 |