Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376bk |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-61125127987968 = -1 · 28 · 38 · 112 · 673 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6325,420959] |
[a1,a2,a3,a4,a6] |
Generators |
[275:-4422:1] |
Generators of the group modulo torsion |
j |
-109328653090816/238770031203 |
j-invariant |
L |
4.5843362645408 |
L(r)(E,1)/r! |
Ω |
0.55353923098942 |
Real period |
R |
0.086269409794632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8844a1 106128bo1 |
Quadratic twists by: -4 -3 |