Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270ch |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
799680 |
Modular degree for the optimal curve |
Δ |
-443663105603727240 = -1 · 23 · 314 · 5 · 7 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-719236,-237013864] |
[a1,a2,a3,a4,a6] |
j |
-41146983368518570740289/443663105603727240 |
j-invariant |
L |
3.4405028829257 |
L(r)(E,1)/r! |
Ω |
0.081916735306602 |
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 |
117810bm1 |
Quadratic twists by: -3 |