Atkin-Lehner |
2- 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810cs |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-9001934426367590400 = -1 · 224 · 39 · 52 · 73 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,429028,95489119] |
[a1,a2,a3,a4,a6] |
Generators |
[53:10853:1] |
Generators of the group modulo torsion |
j |
443700868820055813/457345649868800 |
j-invariant |
L |
11.663331665803 |
L(r)(E,1)/r! |
Ω |
0.15275757239845 |
Real period |
R |
1.5906646943594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999654566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810a1 |
Quadratic twists by: -3 |