Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762bd |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-8218370798140048896 = -1 · 29 · 3 · 717 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 4 3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,445703,-76671673] |
[a1,a2,a3,a4,a6] |
j |
83228502970940543/69854999176704 |
j-invariant |
L |
2.3172777954481 |
L(r)(E,1)/r! |
Ω |
0.12873765530267 |
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 |
54096cy1 20286ba1 966j1 |
Quadratic twists by: -4 -3 -7 |