Atkin-Lehner |
2- 3+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15996c |
Isogeny class |
Conductor |
15996 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4704 |
Modular degree for the optimal curve |
Δ |
-46644336 = -1 · 24 · 37 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 3 2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34,349] |
[a1,a2,a3,a4,a6] |
j |
-279738112/2915271 |
j-invariant |
L |
1.7179414839243 |
L(r)(E,1)/r! |
Ω |
1.7179414839243 |
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 |
63984x1 47988i1 |
Quadratic twists by: -4 -3 |