Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800t |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
42532000000000 = 211 · 59 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -3 5 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12208,409588] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:500:1] |
Generators of the group modulo torsion |
j |
50307514/10633 |
j-invariant |
L |
6.7673908363763 |
L(r)(E,1)/r! |
Ω |
0.60731715498109 |
Real period |
R |
2.7857729610084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43400v1 86800v1 |
Quadratic twists by: -4 5 |