Atkin-Lehner |
2- 3+ 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26130t |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
6271200000 = 28 · 32 · 55 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -4 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-695,5645] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-62:1] |
Generators of the group modulo torsion |
j |
37129335824881/6271200000 |
j-invariant |
L |
7.6050160456337 |
L(r)(E,1)/r! |
Ω |
1.2789782982744 |
Real period |
R |
0.074327063014812 |
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 |
78390s1 |
Quadratic twists by: -3 |