Atkin-Lehner |
2+ 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752a |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-230256 = -1 · 24 · 33 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 0 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-627,-6043] |
[a1,a2,a3,a4,a6] |
j |
-63101922048/533 |
j-invariant |
L |
0.95407484044071 |
L(r)(E,1)/r! |
Ω |
0.47703742680309 |
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 |
38376m1 76752e1 |
Quadratic twists by: -4 -3 |