Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850bd |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-358554883500000 = -1 · 25 · 35 · 56 · 112 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ 0 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16224,-442802] |
[a1,a2,a3,a4,a6] |
Generators |
[38:459:1] |
Generators of the group modulo torsion |
j |
30228456935951/22947512544 |
j-invariant |
L |
5.7638189979431 |
L(r)(E,1)/r! |
Ω |
0.30046017233705 |
Real period |
R |
0.63944348576048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914k1 |
Quadratic twists by: 5 |