Atkin-Lehner |
2+ 3- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26130n |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-260881920 = -1 · 29 · 32 · 5 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13,776] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:23:1] |
Generators of the group modulo torsion |
j |
-217081801/260881920 |
j-invariant |
L |
5.2681600465249 |
L(r)(E,1)/r! |
Ω |
1.4083842942765 |
Real period |
R |
0.9351425012218 |
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 |
78390br1 |
Quadratic twists by: -3 |