Atkin-Lehner |
3- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195n |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
30177447530625 = 36 · 54 · 312 · 413 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -2 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10598,328956] |
[a1,a2,a3,a4,a6] |
Generators |
[26:252:1] |
Generators of the group modulo torsion |
j |
180563311508761/41395675625 |
j-invariant |
L |
4.234922299108 |
L(r)(E,1)/r! |
Ω |
0.622515995289 |
Real period |
R |
3.4014566140852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6355h1 |
Quadratic twists by: -3 |