Atkin-Lehner |
2- 3+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
31356d |
Isogeny class |
Conductor |
31356 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-27025360128 = -1 · 28 · 33 · 13 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -3 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,225,-7802] |
[a1,a2,a3,a4,a6] |
j |
182250000/3909919 |
j-invariant |
L |
1.1519436771653 |
L(r)(E,1)/r! |
Ω |
0.57597183858219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
125424n1 31356c2 |
Quadratic twists by: -4 -3 |