Atkin-Lehner |
2- 3+ 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
26070x |
Isogeny class |
Conductor |
26070 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-10323720 = -1 · 23 · 33 · 5 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-760,-8383] |
[a1,a2,a3,a4,a6] |
j |
-48551226272641/10323720 |
j-invariant |
L |
2.7277772002787 |
L(r)(E,1)/r! |
Ω |
0.45462953337981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78210f1 |
Quadratic twists by: -3 |