Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bk |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1537548480000000 = -1 · 212 · 37 · 57 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 1 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76133,-8277363] |
[a1,a2,a3,a4,a6] |
Generators |
[532:10075:1] |
Generators of the group modulo torsion |
j |
-762549907456/24024195 |
j-invariant |
L |
4.8498799895136 |
L(r)(E,1)/r! |
Ω |
0.14344017183973 |
Real period |
R |
2.8175974736308 |
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 |
975i1 62400go1 46800ee1 3120y1 |
Quadratic twists by: -4 8 -3 5 |