Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26264d |
Isogeny class |
Conductor |
26264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-98877866752 = -1 · 28 · 78 · 67 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196,15092] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:98:1] |
Generators of the group modulo torsion |
j |
27648/3283 |
j-invariant |
L |
5.6764679225892 |
L(r)(E,1)/r! |
Ω |
0.81808997006137 |
Real period |
R |
0.86733552089683 |
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 |
52528b1 3752e1 |
Quadratic twists by: -4 -7 |