Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18368k |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
601882624 = 221 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ -3 1 7- -4 6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2572,-50192] |
[a1,a2,a3,a4,a6] |
j |
7177888089/2296 |
j-invariant |
L |
1.3408189709513 |
L(r)(E,1)/r! |
Ω |
0.67040948547566 |
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 |
18368t1 574e1 128576bt1 |
Quadratic twists by: -4 8 -7 |