Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2496x |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
132844188672 = 210 · 310 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2605,-47219] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:52:1] |
Generators of the group modulo torsion |
j |
1909913257984/129730653 |
j-invariant |
L |
2.1343964162927 |
L(r)(E,1)/r! |
Ω |
0.67109673819499 |
Real period |
R |
1.0601533752215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2496p1 624e1 7488cc1 62400gd1 |
Quadratic twists by: -4 8 -3 5 |