Atkin-Lehner |
2- 3- 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17538h |
Isogeny class |
Conductor |
17538 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
3696 |
Modular degree for the optimal curve |
Δ |
-10101888 = -1 · 27 · 33 · 37 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 3 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1,153] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:13:1] |
Generators of the group modulo torsion |
j |
103823/10101888 |
j-invariant |
L |
8.8416128047718 |
L(r)(E,1)/r! |
Ω |
1.8126841832449 |
Real period |
R |
0.23226835930456 |
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 |
52614c1 |
Quadratic twists by: -3 |