Atkin-Lehner |
5+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122815c |
Isogeny class |
Conductor |
122815 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-260729490175 = -1 · 52 · 7 · 116 · 292 |
Discriminant |
Eigenvalues |
1 2 5+ 7+ 11- 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-728,25403] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:1505:8] |
Generators of the group modulo torsion |
j |
-24137569/147175 |
j-invariant |
L |
9.857798753043 |
L(r)(E,1)/r! |
Ω |
0.84756478302285 |
Real period |
R |
2.9076829727548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1015a1 |
Quadratic twists by: -11 |