Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290er |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2246793257359420 = -1 · 22 · 5 · 78 · 117 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20875,-2560755] |
[a1,a2,a3,a4,a6] |
Generators |
[7846:238803:8] |
Generators of the group modulo torsion |
j |
-4826809/10780 |
j-invariant |
L |
7.9873242319976 |
L(r)(E,1)/r! |
Ω |
0.18581326366584 |
Real period |
R |
5.3732199160549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470t1 5390q1 |
Quadratic twists by: -7 -11 |