Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2640d |
Isogeny class |
Conductor |
2640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
784080 = 24 · 34 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131,-534] |
[a1,a2,a3,a4,a6] |
j |
15657723904/49005 |
j-invariant |
L |
1.410546895224 |
L(r)(E,1)/r! |
Ω |
1.410546895224 |
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 |
1320k1 10560ci1 7920n1 13200z1 |
Quadratic twists by: -4 8 -3 5 |