Atkin-Lehner |
2- 5+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113900c |
Isogeny class |
Conductor |
113900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4556000000 = -1 · 28 · 56 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 5 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,67,3263] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:50:1] |
Generators of the group modulo torsion |
j |
8192/1139 |
j-invariant |
L |
7.9727675801458 |
L(r)(E,1)/r! |
Ω |
1.0590848965526 |
Real period |
R |
0.62733147867547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4556a1 |
Quadratic twists by: 5 |