Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4018k |
Isogeny class |
Conductor |
4018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
270122104 = 23 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ -3 1 7- 4 6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1969,34117] |
[a1,a2,a3,a4,a6] |
Generators |
[23:13:1] |
Generators of the group modulo torsion |
j |
7177888089/2296 |
j-invariant |
L |
1.8963313573881 |
L(r)(E,1)/r! |
Ω |
1.7058696616464 |
Real period |
R |
0.55582539511193 |
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 |
32144be1 128576bt1 36162ck1 100450cc1 |
Quadratic twists by: -4 8 -3 5 |