Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200bb |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
4160000000 = 212 · 57 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,-812] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:50:1] |
Generators of the group modulo torsion |
j |
117649/65 |
j-invariant |
L |
2.1321853189581 |
L(r)(E,1)/r! |
Ω |
1.1370532875778 |
Real period |
R |
0.46879626096947 |
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 |
325c1 20800cn1 46800ek1 1040c1 |
Quadratic twists by: -4 8 -3 5 |