Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97608f |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-84333312 = -1 · 28 · 34 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4993,134147] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-6:1] |
Generators of the group modulo torsion |
j |
-1097638528000/6723 |
j-invariant |
L |
8.7411764616776 |
L(r)(E,1)/r! |
Ω |
1.7093618854424 |
Real period |
R |
0.31960671027035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97608b1 |
Quadratic twists by: -7 |