Atkin-Lehner |
3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115311a |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7.7059673611386E+20 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-181435506,940580982495] |
[a1,a2,a3,a4,a6] |
Generators |
[88700874117224978:10785422472246558801:4156196506552] |
Generators of the group modulo torsion |
j |
27365099295795837863113/31925200757121 |
j-invariant |
L |
5.529217363915 |
L(r)(E,1)/r! |
Ω |
0.13466515415902 |
Real period |
R |
20.529503094405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999382965 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6783e2 |
Quadratic twists by: 17 |