Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37026bm |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
6.4180089589175E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6367406,-4834656835] |
[a1,a2,a3,a4,a6] |
Generators |
[-1767:30835:1] |
Generators of the group modulo torsion |
j |
22106889268753393/4969545596928 |
j-invariant |
L |
6.4815297459598 |
L(r)(E,1)/r! |
Ω |
0.096569881452524 |
Real period |
R |
2.3970538405039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342k1 3366j1 |
Quadratic twists by: -3 -11 |