Atkin-Lehner |
5+ 37+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
76775a |
Isogeny class |
Conductor |
76775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-2840675 = -1 · 52 · 372 · 83 |
Discriminant |
Eigenvalues |
1 -1 5+ -1 3 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40,-145] |
[a1,a2,a3,a4,a6] |
Generators |
[62:43:8] |
Generators of the group modulo torsion |
j |
-294319345/113627 |
j-invariant |
L |
3.8455225406471 |
L(r)(E,1)/r! |
Ω |
0.92835325223041 |
Real period |
R |
2.0711526187912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76775f1 |
Quadratic twists by: 5 |