Atkin-Lehner |
11- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105391f |
Isogeny class |
Conductor |
105391 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
409728 |
Modular degree for the optimal curve |
Δ |
12509341218517 = 118 · 13 · 672 |
Discriminant |
Eigenvalues |
1 -1 -4 4 11- 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43562,-3513605] |
[a1,a2,a3,a4,a6] |
Generators |
[4030:79055:8] |
Generators of the group modulo torsion |
j |
42650216521/58357 |
j-invariant |
L |
5.0047885310339 |
L(r)(E,1)/r! |
Ω |
0.33048898457822 |
Real period |
R |
2.5239310721941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105391d1 |
Quadratic twists by: -11 |