Atkin-Lehner |
2- 3+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
31356c |
Isogeny class |
Conductor |
31356 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-19701487533312 = -1 · 28 · 39 · 13 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 3 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2025,210654] |
[a1,a2,a3,a4,a6] |
j |
182250000/3909919 |
j-invariant |
L |
3.0751562490453 |
L(r)(E,1)/r! |
Ω |
0.51252604150762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125424o2 31356d1 |
Quadratic twists by: -4 -3 |