Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336v |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-8735675638268035072 = -1 · 226 · 75 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11- 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1894259,1013502002] |
[a1,a2,a3,a4,a6] |
Generators |
[686:6072:1] |
Generators of the group modulo torsion |
j |
-183519341483677631433/2132733310124032 |
j-invariant |
L |
5.7449461334977 |
L(r)(E,1)/r! |
Ω |
0.23273815292221 |
Real period |
R |
3.0855201765188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542d1 113344ch1 |
Quadratic twists by: -4 8 |