Atkin-Lehner |
3+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115311d |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
563398312334461821 = 36 · 73 · 179 · 19 |
Discriminant |
Eigenvalues |
0 3+ 3 7+ 0 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-924029,340277738] |
[a1,a2,a3,a4,a6] |
j |
3614826507010048/23341137309 |
j-invariant |
L |
1.1714719007694 |
L(r)(E,1)/r! |
Ω |
0.2928680564677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6783f1 |
Quadratic twists by: 17 |