Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346be |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
1.0871226992927E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13127297,18236788233] |
[a1,a2,a3,a4,a6] |
Generators |
[1306:56971:1] |
Generators of the group modulo torsion |
j |
2126480513962938771457/9240390477545472 |
j-invariant |
L |
9.8631258719287 |
L(r)(E,1)/r! |
Ω |
0.15585312146827 |
Real period |
R |
0.45203393054626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52038o1 2478g1 |
Quadratic twists by: -3 -7 |