Atkin-Lehner |
2+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
116200g |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-47258540000000 = -1 · 28 · 57 · 73 · 832 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8367,147637] |
[a1,a2,a3,a4,a6] |
Generators |
[81:1162:1] [-3:350:1] |
Generators of the group modulo torsion |
j |
16192769024/11814635 |
j-invariant |
L |
10.13283323509 |
L(r)(E,1)/r! |
Ω |
0.40551280997857 |
Real period |
R |
0.52057712414126 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23240e1 |
Quadratic twists by: 5 |