Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966bj |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5612544 |
Modular degree for the optimal curve |
Δ |
1.5670663184857E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3827549,2164242133] |
[a1,a2,a3,a4,a6] |
Generators |
[163724701730455:-37881861146563348:968829592375] |
Generators of the group modulo torsion |
j |
21717639/5488 |
j-invariant |
L |
13.417903820635 |
L(r)(E,1)/r! |
Ω |
0.14094083073393 |
Real period |
R |
23.800597313957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966f1 105966e1 |
Quadratic twists by: -3 29 |