Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400by |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9431790764000000 = -1 · 28 · 56 · 119 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233933,-43877737] |
[a1,a2,a3,a4,a6] |
Generators |
[5128506759:63252591974:8120601] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
6.2194046446241 |
L(r)(E,1)/r! |
Ω |
0.10849848328288 |
Real period |
R |
14.330625775661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12100e2 1936h2 4400s2 |
Quadratic twists by: -4 5 -11 |