Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4018s |
Isogeny class |
Conductor |
4018 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
8330830260075495424 = 221 · 713 · 41 |
Discriminant |
Eigenvalues |
2- 3 1 7- -2 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-948282,-326942087] |
[a1,a2,a3,a4,a6] |
j |
801581275315909089/70810888830976 |
j-invariant |
L |
6.4618543473744 |
L(r)(E,1)/r! |
Ω |
0.15385367493749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32144bf1 128576bu1 36162r1 100450u1 |
Quadratic twists by: -4 8 -3 5 |