Atkin-Lehner |
2+ 3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
4686a |
Isogeny class |
Conductor |
4686 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
174283431499584 = 26 · 320 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-267811,-53452595] |
[a1,a2,a3,a4,a6] |
Generators |
[-1014735:652831:3375] |
Generators of the group modulo torsion |
j |
2124278626065664981177/174283431499584 |
j-invariant |
L |
1.9984679529689 |
L(r)(E,1)/r! |
Ω |
0.20986710838597 |
Real period |
R |
9.5225400890044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37488y4 14058f4 117150cb4 51546g4 |
Quadratic twists by: -4 -3 5 -11 |