Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611r |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-6768570469244859 = -1 · 36 · 113 · 178 |
Discriminant |
Eigenvalues |
0 3- 3 -2 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,27744,-3536132] |
[a1,a2,a3,a4,a6] |
Generators |
[13566:316297:27] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
5.4198854637582 |
L(r)(E,1)/r! |
Ω |
0.21611763343396 |
Real period |
R |
4.1797341087197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179a1 1683h1 |
Quadratic twists by: -3 17 |