Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944cj |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
90944 = 26 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- -6 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1:1] |
Generators of the group modulo torsion |
j |
1835008/29 |
j-invariant |
L |
1.9134302951208 |
L(r)(E,1)/r! |
Ω |
1.9332648472083 |
Real period |
R |
0.98974038390165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944ef1 1421c1 90944k1 |
Quadratic twists by: -4 8 -7 |