Atkin-Lehner |
2+ 3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886h |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
-37649214372 = -1 · 22 · 3 · 7 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1575,25161] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-69:1] [22:31:1] |
Generators of the group modulo torsion |
j |
-244140625/21252 |
j-invariant |
L |
8.1579935379864 |
L(r)(E,1)/r! |
Ω |
1.1293365758377 |
Real period |
R |
0.90296304397919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626m1 |
Quadratic twists by: -11 |