Atkin-Lehner |
2+ 3+ 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18330f |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
105580800 = 28 · 33 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8597,-310419] |
[a1,a2,a3,a4,a6] |
j |
70281888516417241/105580800 |
j-invariant |
L |
1.9831989139726 |
L(r)(E,1)/r! |
Ω |
0.49579972849314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990bm1 91650cy1 |
Quadratic twists by: -3 5 |