Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248cd |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
36831117312 = 214 · 35 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3409,74927] |
[a1,a2,a3,a4,a6] |
Generators |
[47:144:1] [-41:384:1] |
Generators of the group modulo torsion |
j |
267492843088/2247993 |
j-invariant |
L |
10.234958816618 |
L(r)(E,1)/r! |
Ω |
1.1620767396668 |
Real period |
R |
0.88074724045863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248m1 15312e1 |
Quadratic twists by: -4 8 |