Atkin-Lehner |
2- 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850cm |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-1315875000 = -1 · 23 · 3 · 56 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 4 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,1992] |
[a1,a2,a3,a4,a6] |
Generators |
[6:30:1] |
Generators of the group modulo torsion |
j |
-47045881/84216 |
j-invariant |
L |
10.055472864216 |
L(r)(E,1)/r! |
Ω |
1.363820850032 |
Real period |
R |
1.2288359897081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914a1 |
Quadratic twists by: 5 |