Atkin-Lehner |
2- 3+ 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ch |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
44160165236880000 = 27 · 33 · 54 · 7 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8963378,-10326691919] |
[a1,a2,a3,a4,a6] |
Generators |
[-1729:911:1] |
Generators of the group modulo torsion |
j |
2949680911059965601537507/1635561675440000 |
j-invariant |
L |
9.8154344598358 |
L(r)(E,1)/r! |
Ω |
0.087253256529149 |
Real period |
R |
4.0176291785448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810i2 |
Quadratic twists by: -3 |