Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
15096c |
Isogeny class |
Conductor |
15096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-5796864 = -1 · 210 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 5 -3 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,124] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:12:1] |
Generators of the group modulo torsion |
j |
-470596/5661 |
j-invariant |
L |
4.3740539225234 |
L(r)(E,1)/r! |
Ω |
2.0377110562608 |
Real period |
R |
0.53663814468251 |
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 |
30192f1 120768ba1 45288f1 |
Quadratic twists by: -4 8 -3 |