Atkin-Lehner |
2- 37- 83- |
Signs for the Atkin-Lehner involutions |
Class |
6142b |
Isogeny class |
Conductor |
6142 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3760 |
Modular degree for the optimal curve |
Δ |
3144704 = 210 · 37 · 83 |
Discriminant |
Eigenvalues |
2- 2 1 2 0 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3010,-64817] |
[a1,a2,a3,a4,a6] |
j |
3016006107236641/3144704 |
j-invariant |
L |
6.445508811795 |
L(r)(E,1)/r! |
Ω |
0.6445508811795 |
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 |
49136c1 55278c1 |
Quadratic twists by: -4 -3 |