Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414t |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.1569560249063E+26 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35682089058,2594328654970476] |
[a1,a2,a3,a4,a6] |
j |
285531136548675601769470657/17941034271597192 |
j-invariant |
L |
1.4784354546538 |
L(r)(E,1)/r! |
Ω |
0.041067651518058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138w5 2142g5 |
Quadratic twists by: -3 17 |