Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850bu |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-54279843750 = -1 · 2 · 32 · 57 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,812,-6469] |
[a1,a2,a3,a4,a6] |
Generators |
[70:261:8] |
Generators of the group modulo torsion |
j |
3789119879/3473910 |
j-invariant |
L |
6.6443245236464 |
L(r)(E,1)/r! |
Ω |
0.61346022338151 |
Real period |
R |
2.7077242624601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570n1 |
Quadratic twists by: 5 |