Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162n |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12165016686757578 = -1 · 2 · 37 · 79 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,53793,2244703] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1112:1] |
Generators of the group modulo torsion |
j |
200715401375/141839418 |
j-invariant |
L |
4.4725290342548 |
L(r)(E,1)/r! |
Ω |
0.25416811949822 |
Real period |
R |
2.1995918700808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054be2 5166q2 |
Quadratic twists by: -3 -7 |