Atkin-Lehner |
2- 5+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
26260b |
Isogeny class |
Conductor |
26260 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
137917520 = 24 · 5 · 132 · 1012 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-248,1393] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:5:1] [3:26:1] |
Generators of the group modulo torsion |
j |
105428680704/8619845 |
j-invariant |
L |
7.3022998314266 |
L(r)(E,1)/r! |
Ω |
1.7990794447033 |
Real period |
R |
1.3529696817865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105040q1 |
Quadratic twists by: -4 |