Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6762s |
Isogeny class |
Conductor |
6762 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
11085560685674496 = 214 · 36 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-105180,-12121574] |
[a1,a2,a3,a4,a6] |
j |
3188856056959/274710528 |
j-invariant |
L |
1.5993603966386 |
L(r)(E,1)/r! |
Ω |
0.26656006610644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54096bm1 20286cg1 6762h1 |
Quadratic twists by: -4 -3 -7 |