Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150bl |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2273600 |
Modular degree for the optimal curve |
Δ |
-1360044935237718750 = -1 · 2 · 3 · 56 · 299 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 0 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,241349,-32622052] |
[a1,a2,a3,a4,a6] |
Generators |
[24127945222560:776212808776111:29360639125] |
Generators of the group modulo torsion |
j |
6859/6 |
j-invariant |
L |
5.3742453052161 |
L(r)(E,1)/r! |
Ω |
0.1489598344089 |
Real period |
R |
18.039243016555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046k1 126150ck1 |
Quadratic twists by: 5 29 |