Atkin-Lehner |
2- 3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270bg |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
5591040 |
Modular degree for the optimal curve |
Δ |
3.4419840600637E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-121549652,-515766392521] |
[a1,a2,a3,a4,a6] |
Generators |
[12997:309421:1] |
Generators of the group modulo torsion |
j |
7355650808184944781629532483/1274808911134720000 |
j-invariant |
L |
11.030103175011 |
L(r)(E,1)/r! |
Ω |
0.045468552599405 |
Real period |
R |
6.0646878691023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36270a1 |
Quadratic twists by: -3 |