Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944bl |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-223597101056 = -1 · 216 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -3 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15745,755551] |
[a1,a2,a3,a4,a6] |
Generators |
[9:784:1] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
7.5541858269309 |
L(r)(E,1)/r! |
Ω |
0.98174801814721 |
Real period |
R |
1.9236570094793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944dz1 11368k1 1856c1 |
Quadratic twists by: -4 8 -7 |