Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504cc |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-30505984 = -1 · 210 · 313 |
Discriminant |
Eigenvalues |
2- -2 -1 1 4 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,271] |
[a1,a2,a3,a4,a6] |
Generators |
[10:31:1] |
Generators of the group modulo torsion |
j |
-256 |
j-invariant |
L |
3.4030172898184 |
L(r)(E,1)/r! |
Ω |
1.8235463064393 |
Real period |
R |
0.93307674120104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504t1 15376w1 61504bw1 |
Quadratic twists by: -4 8 -31 |