Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2090d |
Isogeny class |
Conductor |
2090 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
30179600 = 24 · 52 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1579,24006] |
[a1,a2,a3,a4,a6] |
j |
434985385981609/30179600 |
j-invariant |
L |
0.66235354259955 |
L(r)(E,1)/r! |
Ω |
1.9870606277987 |
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 |
16720u1 66880bo1 18810bi1 10450y1 |
Quadratic twists by: -4 8 -3 5 |