Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600u |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
851200 = 28 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 -3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] [-2:4:1] |
Generators of the group modulo torsion |
j |
393040/133 |
j-invariant |
L |
6.4657825516575 |
L(r)(E,1)/r! |
Ω |
2.1259468188487 |
Real period |
R |
0.76034152104983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200s1 26600p1 |
Quadratic twists by: -4 5 |