Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bc |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15847702344817920 = 28 · 36 · 5 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66063,2455522] |
[a1,a2,a3,a4,a6] |
Generators |
[318801:9355676:343] |
Generators of the group modulo torsion |
j |
3631696/1805 |
j-invariant |
L |
7.9447575864796 |
L(r)(E,1)/r! |
Ω |
0.34766910175356 |
Real period |
R |
5.7128729286647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999852926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440m2 6840p2 |
Quadratic twists by: -3 -19 |