Atkin-Lehner |
2+ 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109174b |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-238507237610057728 = -1 · 212 · 139 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 6 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,85679,21429540] |
[a1,a2,a3,a4,a6] |
Generators |
[1876:81435:1] |
Generators of the group modulo torsion |
j |
14410997795375/49413025792 |
j-invariant |
L |
2.7609423341476 |
L(r)(E,1)/r! |
Ω |
0.22178038070214 |
Real period |
R |
6.2244964600978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998006058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398i1 |
Quadratic twists by: 13 |