Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944bm |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
42198016 = 210 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 3 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-849,9239] |
[a1,a2,a3,a4,a6] |
Generators |
[10:43:1] |
Generators of the group modulo torsion |
j |
1350399232/841 |
j-invariant |
L |
10.718837588982 |
L(r)(E,1)/r! |
Ω |
2.0112052278197 |
Real period |
R |
2.6647796629154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944ec1 11368e1 90944i1 |
Quadratic twists by: -4 8 -7 |