Atkin-Lehner |
43+ |
Signs for the Atkin-Lehner involutions |
Class |
1849a |
Isogeny class |
Conductor |
1849 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
264 |
Modular degree for the optimal curve |
Δ |
-79507 = -1 · 433 |
Discriminant |
Eigenvalues |
0 0 0 0 -1 3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-860,9707] |
[a1,a2,a3,a4,a6] |
Generators |
[17:0:1] |
Generators of the group modulo torsion |
j |
-884736000 |
j-invariant |
L |
2.4594606902561 |
L(r)(E,1)/r! |
Ω |
2.8905410710018 |
Real period |
R |
0.42543257989476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29584h1 118336a1 16641e1 46225a1 |
Quadratic twists by: -4 8 -3 5 |