Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680bz |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-84294424169472000 = -1 · 213 · 3 · 53 · 114 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8784,13968084] |
[a1,a2,a3,a4,a6] |
Generators |
[-58041:2605130:729] |
Generators of the group modulo torsion |
j |
18297480921551/20579693400750 |
j-invariant |
L |
8.4847504293614 |
L(r)(E,1)/r! |
Ω |
0.2668539084095 |
Real period |
R |
7.9488721690592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210t4 |
Quadratic twists by: -4 |