Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4704f |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
180708864 = 29 · 3 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1584,-23736] |
[a1,a2,a3,a4,a6] |
j |
7301384/3 |
j-invariant |
L |
1.5134867381822 |
L(r)(E,1)/r! |
Ω |
0.7567433690911 |
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 |
4704bf3 9408bg3 14112ca3 117600ha4 |
Quadratic twists by: -4 8 -3 5 |