Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5152c |
Isogeny class |
Conductor |
5152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-236992 = -1 · 26 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[210:3036:1] |
Generators of the group modulo torsion |
j |
8000/3703 |
j-invariant |
L |
5.0414921687092 |
L(r)(E,1)/r! |
Ω |
1.4657883272985 |
Real period |
R |
3.439440794293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5152e1 10304ba2 46368i1 128800j1 |
Quadratic twists by: -4 8 -3 5 |