Atkin-Lehner |
2- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103544f |
Isogeny class |
Conductor |
103544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
827904 |
Modular degree for the optimal curve |
Δ |
-167074940228584192 = -1 · 28 · 74 · 437 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 1 3 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12327,19654733] |
[a1,a2,a3,a4,a6] |
Generators |
[1631:66150:1] |
Generators of the group modulo torsion |
j |
128000/103243 |
j-invariant |
L |
9.7869869915467 |
L(r)(E,1)/r! |
Ω |
0.25160052483996 |
Real period |
R |
4.8623641744042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999964853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2408b1 |
Quadratic twists by: -43 |