Atkin-Lehner |
2- 3- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57276d |
Isogeny class |
Conductor |
57276 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
12767507712 = 28 · 36 · 37 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 3 3 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,4516] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:86:1] |
Generators of the group modulo torsion |
j |
199794688/68413 |
j-invariant |
L |
6.2588949352772 |
L(r)(E,1)/r! |
Ω |
1.1614390273836 |
Real period |
R |
0.89815231903365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6364a1 |
Quadratic twists by: -3 |