Atkin-Lehner |
2+ 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850q |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-11101200 = -1 · 24 · 3 · 52 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15,165] |
[a1,a2,a3,a4,a6] |
Generators |
[14:51:1] |
Generators of the group modulo torsion |
j |
13428095/444048 |
j-invariant |
L |
3.7437684494438 |
L(r)(E,1)/r! |
Ω |
1.7141753426278 |
Real period |
R |
0.54600138566971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850de1 |
Quadratic twists by: 5 |