Atkin-Lehner |
2- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
116200u |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-47258540000000 = -1 · 28 · 57 · 73 · 832 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33033,2345437] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:2150:1] [31:1162:1] |
Generators of the group modulo torsion |
j |
-996600085504/11814635 |
j-invariant |
L |
10.152366535339 |
L(r)(E,1)/r! |
Ω |
0.63933574818023 |
Real period |
R |
0.33082404170918 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23240a1 |
Quadratic twists by: 5 |