Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138f |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
669900 |
Modular degree for the optimal curve |
Δ |
-6.2811253365933E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -1 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1989228,-536992048] |
[a1,a2,a3,a4,a6] |
j |
2838375/2048 |
j-invariant |
L |
2.2813951940334 |
L(r)(E,1)/r! |
Ω |
0.091255807761336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104bs1 1682h1 15138bb1 |
Quadratic twists by: -4 -3 29 |