Atkin-Lehner |
3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
5757c |
Isogeny class |
Conductor |
5757 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33143049 = 32 · 192 · 1012 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1919,31556] |
[a1,a2,a3,a4,a6] |
Generators |
[6:139:1] |
Generators of the group modulo torsion |
j |
781560821686897/33143049 |
j-invariant |
L |
1.2928339971635 |
L(r)(E,1)/r! |
Ω |
1.9488780946746 |
Real period |
R |
1.3267469121811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92112o2 17271j2 109383n2 |
Quadratic twists by: -4 -3 -19 |