Atkin-Lehner |
2- 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
15168i |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-15532032 = -1 · 216 · 3 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 1 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97,-383] |
[a1,a2,a3,a4,a6] |
Generators |
[21:80:1] |
Generators of the group modulo torsion |
j |
-1556068/237 |
j-invariant |
L |
4.6557169742427 |
L(r)(E,1)/r! |
Ω |
0.75365156204481 |
Real period |
R |
1.5443864275988 |
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 |
15168c1 3792a1 45504by1 |
Quadratic twists by: -4 8 -3 |