Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15730bd |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-16861859322880 = -1 · 210 · 5 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16640,-856415] |
[a1,a2,a3,a4,a6] |
Generators |
[545:12069:1] |
Generators of the group modulo torsion |
j |
-287626699801/9518080 |
j-invariant |
L |
9.748990198193 |
L(r)(E,1)/r! |
Ω |
0.20976658701712 |
Real period |
R |
2.3237709915634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125840cr1 78650j1 1430c1 |
Quadratic twists by: -4 5 -11 |