Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360s |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-779486840000000 = -1 · 29 · 57 · 117 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11- 2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-394016,95336980] |
[a1,a2,a3,a4,a6] |
Generators |
[356:242:1] |
Generators of the group modulo torsion |
j |
-7458308028872/859375 |
j-invariant |
L |
2.7970744313303 |
L(r)(E,1)/r! |
Ω |
0.48452823002142 |
Real period |
R |
1.4431947707189 |
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 |
19360p1 38720di1 96800g1 1760a1 |
Quadratic twists by: -4 8 5 -11 |