Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
12120b |
Isogeny class |
Conductor |
12120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
126916761600 = 211 · 35 · 52 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 6 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10536,419436] |
[a1,a2,a3,a4,a6] |
j |
63162929599058/61971075 |
j-invariant |
L |
1.0375650307603 |
L(r)(E,1)/r! |
Ω |
1.0375650307603 |
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 |
24240j2 96960bj2 36360t2 60600be2 |
Quadratic twists by: -4 8 -3 5 |