Atkin-Lehner |
2- 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13630i |
Isogeny class |
Conductor |
13630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-3407500 = -1 · 22 · 54 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- -1 3 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80,-323] |
[a1,a2,a3,a4,a6] |
Generators |
[17:51:1] |
Generators of the group modulo torsion |
j |
-56667352321/3407500 |
j-invariant |
L |
9.9630124997901 |
L(r)(E,1)/r! |
Ω |
0.79535011046615 |
Real period |
R |
1.5658218262444 |
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 |
109040p1 122670q1 68150b1 |
Quadratic twists by: -4 -3 5 |