Atkin-Lehner |
2- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101680o |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-333510400000000 = -1 · 214 · 58 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10704,-771904] |
[a1,a2,a3,a4,a6] |
Generators |
[82440:997424:729] |
Generators of the group modulo torsion |
j |
33110176183631/81423437500 |
j-invariant |
L |
8.839827002154 |
L(r)(E,1)/r! |
Ω |
0.27952121663978 |
Real period |
R |
7.9062218614437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999855369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710l1 |
Quadratic twists by: -4 |