Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320s |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-473893943040 = -1 · 28 · 33 · 5 · 72 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1500,23940] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3808:1] |
Generators of the group modulo torsion |
j |
1457028215984/1851148215 |
j-invariant |
L |
4.9113893952066 |
L(r)(E,1)/r! |
Ω |
0.6275942907516 |
Real period |
R |
3.9128697213966 |
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 |
38640w1 57960o1 96600x1 |
Quadratic twists by: -4 -3 5 |