Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640c |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-35525754880000 = -1 · 226 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2079,283745] |
[a1,a2,a3,a4,a6] |
Generators |
[4553:307200:1] |
Generators of the group modulo torsion |
j |
3789119879/135520000 |
j-invariant |
L |
6.6166191359398 |
L(r)(E,1)/r! |
Ω |
0.49266215267814 |
Real period |
R |
3.3575844521299 |
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 |
24640bq1 770d1 123200br1 |
Quadratic twists by: -4 8 5 |