Atkin-Lehner |
2- 11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
93808x |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-264163328 = -1 · 212 · 112 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 1 -2 -2 11+ 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144,980] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-22:1] |
Generators of the group modulo torsion |
j |
-81182737/64493 |
j-invariant |
L |
4.5899368294578 |
L(r)(E,1)/r! |
Ω |
1.6010931134539 |
Real period |
R |
0.71668799085504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5863a1 |
Quadratic twists by: -4 |