Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2070a |
Isogeny class |
Conductor |
2070 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
105122880 = 26 · 33 · 5 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3810,91476] |
[a1,a2,a3,a4,a6] |
j |
226568219476347/3893440 |
j-invariant |
L |
0.57638359081578 |
L(r)(E,1)/r! |
Ω |
1.7291507724473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
16560z1 66240y1 2070m3 10350bc1 |
Quadratic twists by: -4 8 -3 5 |