Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320ba |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-112831891200 = -1 · 28 · 32 · 52 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180,16128] |
[a1,a2,a3,a4,a6] |
Generators |
[36:240:1] |
Generators of the group modulo torsion |
j |
-2533446736/440749575 |
j-invariant |
L |
6.7921217002952 |
L(r)(E,1)/r! |
Ω |
0.86074419818808 |
Real period |
R |
1.972746872588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38640m1 57960k1 96600p1 |
Quadratic twists by: -4 -3 5 |