Atkin-Lehner |
7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55811i |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
2594684811593 = 76 · 173 · 672 |
Discriminant |
Eigenvalues |
-1 2 4 7- 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3921,-55714] |
[a1,a2,a3,a4,a6] |
Generators |
[-133270080:-501314891:3048625] |
Generators of the group modulo torsion |
j |
56667352321/22054457 |
j-invariant |
L |
7.6100157578971 |
L(r)(E,1)/r! |
Ω |
0.62365143264277 |
Real period |
R |
12.20235432743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1139b1 |
Quadratic twists by: -7 |