Atkin-Lehner |
2- 3- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
36312i |
Isogeny class |
Conductor |
36312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
59261184 = 28 · 32 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-244,-1504] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:6:1] |
Generators of the group modulo torsion |
j |
6301325392/231489 |
j-invariant |
L |
3.540996064945 |
L(r)(E,1)/r! |
Ω |
1.2102754287834 |
Real period |
R |
0.7314442606886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72624b1 108936j1 |
Quadratic twists by: -4 -3 |