Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bp |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-11191169433600 = -1 · 214 · 37 · 52 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5107,-79819] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-584:1] |
Generators of the group modulo torsion |
j |
20210333452919/15351398400 |
j-invariant |
L |
6.9677085509349 |
L(r)(E,1)/r! |
Ω |
0.40107911914145 |
Real period |
R |
0.62044300509742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090r1 |
Quadratic twists by: -3 |