Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180p |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
11066256450000 = 24 · 36 · 55 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11028,-416027] |
[a1,a2,a3,a4,a6] |
Generators |
[3651:220514:1] |
Generators of the group modulo torsion |
j |
12716467142656/948753125 |
j-invariant |
L |
6.3160790243179 |
L(r)(E,1)/r! |
Ω |
0.46807820553939 |
Real period |
R |
6.7468202334431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11020f1 |
Quadratic twists by: -3 |