Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830bb |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4165875000 = -1 · 23 · 32 · 56 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,119,-3055] |
[a1,a2,a3,a4,a6] |
j |
186267240431/4165875000 |
j-invariant |
L |
4.0354018931863 |
L(r)(E,1)/r! |
Ω |
0.67256698219771 |
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 |
38640bp2 14490u2 24150l2 33810cp2 |
Quadratic twists by: -4 -3 5 -7 |