Atkin-Lehner |
2- 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970bt |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
626806803932100 = 22 · 34 · 52 · 118 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69275,-6942715] |
[a1,a2,a3,a4,a6] |
j |
20753798525641/353816100 |
j-invariant |
L |
4.7132934684841 |
L(r)(E,1)/r! |
Ω |
0.29458084226604 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6270c2 |
Quadratic twists by: -11 |