Atkin-Lehner |
2- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
55664c |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
464965789456 = 24 · 78 · 712 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 5 6 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22066,-1253881] |
[a1,a2,a3,a4,a6] |
j |
12882790144/5041 |
j-invariant |
L |
2.3503279229943 |
L(r)(E,1)/r! |
Ω |
0.3917213205577 |
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 |
13916d1 55664l1 |
Quadratic twists by: -4 -7 |