Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336f |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
1813504 = 210 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ 11- 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,544] |
[a1,a2,a3,a4,a6] |
Generators |
[6:2:1] |
Generators of the group modulo torsion |
j |
188183524/1771 |
j-invariant |
L |
4.2284004921638 |
L(r)(E,1)/r! |
Ω |
2.6550642595975 |
Real period |
R |
0.79628967112172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168d1 113344ct1 |
Quadratic twists by: -4 8 |