Atkin-Lehner |
2- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
26350v |
Isogeny class |
Conductor |
26350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
243347783500 = 22 · 53 · 17 · 315 |
Discriminant |
Eigenvalues |
2- -1 5- -2 2 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3178,-66069] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:77:1] |
Generators of the group modulo torsion |
j |
28397749162229/1946782268 |
j-invariant |
L |
6.0448635904354 |
L(r)(E,1)/r! |
Ω |
0.6386012040788 |
Real period |
R |
0.47328939812721 |
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 |
26350g1 |
Quadratic twists by: 5 |