Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gd |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-10392624000000 = -1 · 210 · 310 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7733,-306837] |
[a1,a2,a3,a4,a6] |
Generators |
[238:3375:1] |
Generators of the group modulo torsion |
j |
-3196715008/649539 |
j-invariant |
L |
8.8417064697229 |
L(r)(E,1)/r! |
Ω |
0.25180058794535 |
Real period |
R |
1.7556961526256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800bf1 13200bq1 2112t1 |
Quadratic twists by: -4 8 5 |