Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
61854s |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
308775168 = 28 · 32 · 133 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-218,-924] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:22:1] |
Generators of the group modulo torsion |
j |
521660125/140544 |
j-invariant |
L |
10.165818059245 |
L(r)(E,1)/r! |
Ω |
1.2674823201755 |
Real period |
R |
1.0025601439363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61854l1 |
Quadratic twists by: 13 |