Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616bt |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-3013527214512 = -1 · 24 · 33 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 0 -7 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-83521] |
[a1,a2,a3,a4,a6] |
Generators |
[578:4335:8] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
3.7301942106835 |
L(r)(E,1)/r! |
Ω |
0.36733792359138 |
Real period |
R |
1.6924444637691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10404g1 41616bt2 41616bl1 |
Quadratic twists by: -4 -3 17 |