Atkin-Lehner |
3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42891a |
Isogeny class |
Conductor |
42891 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-23753079677493 = -1 · 34 · 17 · 297 |
Discriminant |
Eigenvalues |
-1 3+ -2 1 0 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7131,-32568] |
[a1,a2,a3,a4,a6] |
Generators |
[379:7379:1] |
Generators of the group modulo torsion |
j |
67419143/39933 |
j-invariant |
L |
2.3333683967208 |
L(r)(E,1)/r! |
Ω |
0.3947792624165 |
Real period |
R |
0.73882059509511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128673n1 1479e1 |
Quadratic twists by: -3 29 |