Atkin-Lehner |
2- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15004a |
Isogeny class |
Conductor |
15004 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-1556660474853616 = -1 · 24 · 1112 · 31 |
Discriminant |
Eigenvalues |
2- 0 1 3 11- -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96437,-11682187] |
[a1,a2,a3,a4,a6] |
Generators |
[1093:34477:1] |
Generators of the group modulo torsion |
j |
-3499279992576/54918391 |
j-invariant |
L |
5.4296982230202 |
L(r)(E,1)/r! |
Ω |
0.13533299246817 |
Real period |
R |
6.6868373138912 |
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 |
60016m1 1364b1 |
Quadratic twists by: -4 -11 |