Atkin-Lehner |
2+ 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18920b |
Isogeny class |
Conductor |
18920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-76232524544000 = -1 · 211 · 53 · 115 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11+ -4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,440,420208] |
[a1,a2,a3,a4,a6] |
j |
4589489518/37222912375 |
j-invariant |
L |
2.8930255438472 |
L(r)(E,1)/r! |
Ω |
0.48217092397453 |
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 |
37840g1 94600p1 |
Quadratic twists by: -4 5 |