Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15246bn |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-332677520193199104 = -1 · 210 · 39 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80609,29135153] |
[a1,a2,a3,a4,a6] |
j |
-33698267/193536 |
j-invariant |
L |
5.2606330808546 |
L(r)(E,1)/r! |
Ω |
0.26303165404273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968dk1 5082l1 106722ga1 15246f1 |
Quadratic twists by: -4 -3 -7 -11 |