Atkin-Lehner |
2- 3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51546g |
Isogeny class |
Conductor |
51546 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.0250534083909E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11573834,-14355935593] |
[a1,a2,a3,a4,a6] |
j |
96783060390647263417/5786159259494592 |
j-invariant |
L |
1.9717955903311 |
L(r)(E,1)/r! |
Ω |
0.082158149548301 |
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 |
4686a4 |
Quadratic twists by: -11 |