Atkin-Lehner |
2- 3+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26076c |
Isogeny class |
Conductor |
26076 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
228112848 = 24 · 38 · 41 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -6 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-697,-6818] |
[a1,a2,a3,a4,a6] |
Generators |
[45876208:-90764955:1404928] |
Generators of the group modulo torsion |
j |
2343824048128/14257053 |
j-invariant |
L |
5.1588328887429 |
L(r)(E,1)/r! |
Ω |
0.92939122180798 |
Real period |
R |
11.101531341575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104304q1 78228d1 |
Quadratic twists by: -4 -3 |