Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928w |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
1026817208963960832 = 212 · 33 · 113 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1337667,593484930] |
[a1,a2,a3,a4,a6] |
j |
2393558463315519963/9284733153971 |
j-invariant |
L |
1.1135466389452 |
L(r)(E,1)/r! |
Ω |
0.27838665973637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1683c1 107712da1 26928bb1 |
Quadratic twists by: -4 8 -3 |