Atkin-Lehner |
2- 3+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
31356c |
Isogeny class |
Conductor |
31356 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-1017439488 = -1 · 28 · 33 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 3 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2655,52678] |
[a1,a2,a3,a4,a6] |
j |
-299442582000/147199 |
j-invariant |
L |
3.0751562490453 |
L(r)(E,1)/r! |
Ω |
1.5375781245229 |
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 |
125424o1 31356d2 |
Quadratic twists by: -4 -3 |