Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680bh |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1702010880 = 213 · 37 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-437763,111482498] |
[a1,a2,a3,a4,a6] |
Generators |
[383:34:1] [431:1694:1] |
Generators of the group modulo torsion |
j |
3107086841064961/570 |
j-invariant |
L |
5.8041335616598 |
L(r)(E,1)/r! |
Ω |
0.86631329633982 |
Real period |
R |
6.699808933077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1710d3 54720eq4 4560u3 68400fs4 |
Quadratic twists by: -4 8 -3 5 |