Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cg |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
12250000 = 24 · 56 · 72 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1:1] |
Generators of the group modulo torsion |
j |
1792 |
j-invariant |
L |
4.3005776607579 |
L(r)(E,1)/r! |
Ω |
1.8544247554055 |
Real period |
R |
2.3190898677457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4900g1 78400hl1 784i1 19600bs1 |
Quadratic twists by: -4 8 5 -7 |