Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320x |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
45088475040000 = 28 · 36 · 54 · 75 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93934356,-350448022656] |
[a1,a2,a3,a4,a6] |
j |
358061097267989271289240144/176126855625 |
j-invariant |
L |
2.9096763835972 |
L(r)(E,1)/r! |
Ω |
0.048494606393286 |
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 |
38640d1 57960bc1 96600h1 |
Quadratic twists by: -4 -3 5 |