Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736x |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
659344 = 24 · 72 · 292 |
Discriminant |
Eigenvalues |
2- -1 1 7- 5 2 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30,-41] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:29:8] |
Generators of the group modulo torsion |
j |
3937024/841 |
j-invariant |
L |
5.1607498286943 |
L(r)(E,1)/r! |
Ω |
2.0651043161005 |
Real period |
R |
1.2495131089647 |
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 |
5684e1 90944dt1 22736p1 |
Quadratic twists by: -4 8 -7 |