Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
26712j |
Isogeny class |
Conductor |
26712 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-73311507972864 = -1 · 28 · 38 · 77 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 -6 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13548,733556] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-882:1] [76:378:1] |
Generators of the group modulo torsion |
j |
-1473607361536/392830011 |
j-invariant |
L |
7.6902455110714 |
L(r)(E,1)/r! |
Ω |
0.58355896268939 |
Real period |
R |
0.11766232846879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53424e1 8904e1 |
Quadratic twists by: -4 -3 |