Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49980c |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-171362827440 = -1 · 24 · 32 · 5 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,20070] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:147:1] |
Generators of the group modulo torsion |
j |
-1048576/91035 |
j-invariant |
L |
3.5458880605494 |
L(r)(E,1)/r! |
Ω |
0.83733434519379 |
Real period |
R |
0.35289448403165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140q1 |
Quadratic twists by: -7 |