Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640bc |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-3.8551860415201E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,409624,-939130060] |
[a1,a2,a3,a4,a6] |
Generators |
[3163202:304334528:343] |
Generators of the group modulo torsion |
j |
15773593568039/800013200000 |
j-invariant |
L |
6.7887399444549 |
L(r)(E,1)/r! |
Ω |
0.080928330199201 |
Real period |
R |
10.485728433048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330b1 9520o1 |
Quadratic twists by: -4 -7 |