Atkin-Lehner |
2- 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15688a |
Isogeny class |
Conductor |
15688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
-203428931584 = -1 · 211 · 374 · 53 |
Discriminant |
Eigenvalues |
2- -2 3 -2 -3 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-224,21664] |
[a1,a2,a3,a4,a6] |
Generators |
[15:148:1] |
Generators of the group modulo torsion |
j |
-609642434/99330533 |
j-invariant |
L |
3.6589346516704 |
L(r)(E,1)/r! |
Ω |
0.81999367436827 |
Real period |
R |
1.115537462679 |
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 |
31376a1 125504c1 |
Quadratic twists by: -4 8 |