Atkin-Lehner |
3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
759a |
Isogeny class |
Conductor |
759 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1882056627 = 35 · 114 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 0 -2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1238,-17152] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:16:1] |
Generators of the group modulo torsion |
j |
209849322390625/1882056627 |
j-invariant |
L |
1.2941612046727 |
L(r)(E,1)/r! |
Ω |
0.80529055546341 |
Real period |
R |
0.80353680785936 |
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 |
12144bb2 48576bd2 2277a2 18975p2 |
Quadratic twists by: -4 8 -3 5 |