Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968bc |
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] |
j |
192100033/13984 |
j-invariant |
L |
2.7454129225538 |
L(r)(E,1)/r! |
Ω |
1.3727064612774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968r1 6992p1 |
Quadratic twists by: -4 8 |