Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4018c |
Isogeny class |
Conductor |
4018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
1816301027296 = 25 · 77 · 413 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 0 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3896,-69152] |
[a1,a2,a3,a4,a6] |
j |
55611739513/15438304 |
j-invariant |
L |
1.2338552498516 |
L(r)(E,1)/r! |
Ω |
0.61692762492578 |
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 |
32144o1 128576p1 36162dd1 100450bi1 |
Quadratic twists by: -4 8 -3 5 |