Atkin-Lehner |
2+ 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113498a |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
371712 |
Modular degree for the optimal curve |
Δ |
123858276312848 = 24 · 72 · 119 · 67 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14281,-381636] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:424:1] |
Generators of the group modulo torsion |
j |
136590875/52528 |
j-invariant |
L |
3.3966045594142 |
L(r)(E,1)/r! |
Ω |
0.45117430915491 |
Real period |
R |
3.7641821131601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113498t1 |
Quadratic twists by: -11 |