Atkin-Lehner |
2- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11186c |
Isogeny class |
Conductor |
11186 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-37309499637729536 = -1 · 28 · 75 · 174 · 473 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 1 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-225372,-42310595] |
[a1,a2,a3,a4,a6] |
Generators |
[1493:53585:1] |
Generators of the group modulo torsion |
j |
-1265970858601452921793/37309499637729536 |
j-invariant |
L |
4.0865602999003 |
L(r)(E,1)/r! |
Ω |
0.10936807033272 |
Real period |
R |
0.77844175777799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89488f1 100674i1 78302f1 |
Quadratic twists by: -4 -3 -7 |