Atkin-Lehner |
2- 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17612d |
Isogeny class |
Conductor |
17612 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-26232580864 = -1 · 28 · 7 · 172 · 373 |
Discriminant |
Eigenvalues |
2- -2 3 7- 3 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2549,49303] |
[a1,a2,a3,a4,a6] |
j |
-7157537308672/102471019 |
j-invariant |
L |
2.3857146951397 |
L(r)(E,1)/r! |
Ω |
1.1928573475698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70448h1 123284f1 |
Quadratic twists by: -4 -7 |