Atkin-Lehner |
2+ 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850r |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1561106250000 = 24 · 33 · 58 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2900,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:261:1] |
Generators of the group modulo torsion |
j |
172715635009/99910800 |
j-invariant |
L |
3.6007423703227 |
L(r)(E,1)/r! |
Ω |
0.71649875382825 |
Real period |
R |
2.5127345659036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570bc1 |
Quadratic twists by: 5 |