Atkin-Lehner |
2+ 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105616a |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24832 |
Modular degree for the optimal curve |
Δ |
-6759424 = -1 · 210 · 7 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ -4 -7 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,224] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:18:1] |
Generators of the group modulo torsion |
j |
-19307236/6601 |
j-invariant |
L |
7.1856207971984 |
L(r)(E,1)/r! |
Ω |
2.2337871124224 |
Real period |
R |
1.6083942751352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52808d1 |
Quadratic twists by: -4 |