Atkin-Lehner |
2- 3- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670x |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
37404178889741100 = 22 · 310 · 52 · 193 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-122000,13496532] |
[a1,a2,a3,a4,a6] |
j |
200818364894225568001/37404178889741100 |
j-invariant |
L |
6.9426274468771 |
L(r)(E,1)/r! |
Ω |
0.34713137234386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010h2 88350b2 |
Quadratic twists by: -3 5 |