Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26714a |
Isogeny class |
Conductor |
26714 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13608 |
Modular degree for the optimal curve |
Δ |
-308600128 = -1 · 26 · 194 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 0 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-248,-1664] |
[a1,a2,a3,a4,a6] |
Generators |
[24:64:1] |
Generators of the group modulo torsion |
j |
-12973257/2368 |
j-invariant |
L |
1.7778000090006 |
L(r)(E,1)/r! |
Ω |
0.5955091833815 |
Real period |
R |
0.49755740090793 |
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 |
26714t1 |
Quadratic twists by: -19 |