Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968r |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
3665821696 = 223 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ -1 3 -2 5 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-769,-7423] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:23:1] |
Generators of the group modulo torsion |
j |
192100033/13984 |
j-invariant |
L |
5.2578097642125 |
L(r)(E,1)/r! |
Ω |
0.91067162457852 |
Real period |
R |
2.8867758818367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968bc1 874d1 |
Quadratic twists by: -4 8 |