Atkin-Lehner |
2- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18368q |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-4815060992 = -1 · 224 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 0 4 7+ -2 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,212,-3120] |
[a1,a2,a3,a4,a6] |
j |
4019679/18368 |
j-invariant |
L |
2.7650397795676 |
L(r)(E,1)/r! |
Ω |
0.6912599448919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18368g1 4592c1 128576cp1 |
Quadratic twists by: -4 8 -7 |