Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928bw |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
1328638280859648 = 218 · 313 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78699,8314778] |
[a1,a2,a3,a4,a6] |
Generators |
[31:2430:1] |
Generators of the group modulo torsion |
j |
18052771191337/444958272 |
j-invariant |
L |
6.8001893863548 |
L(r)(E,1)/r! |
Ω |
0.48124468093149 |
Real period |
R |
1.766302479747 |
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 |
3366n1 107712dz1 8976p1 |
Quadratic twists by: -4 8 -3 |