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 |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
30535418880 = 210 · 310 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 6 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-816,3420] |
[a1,a2,a3,a4,a6] |
j |
58752499396/29819745 |
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 |
24240j1 96960bj1 36360t1 60600be1 |
Quadratic twists by: -4 8 -3 5 |