Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bm |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
304479606030336 = 214 · 312 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17724,-346480] |
[a1,a2,a3,a4,a6] |
Generators |
[134786:17494785:8] |
Generators of the group modulo torsion |
j |
51553893328/25492401 |
j-invariant |
L |
10.029612979074 |
L(r)(E,1)/r! |
Ω |
0.43529561303251 |
Real period |
R |
5.7602309146024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903794 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712fa2 13464v2 35904s2 |
Quadratic twists by: -4 8 -3 |