Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cq |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-404302138048512 = -1 · 217 · 36 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23148,-1665360] |
[a1,a2,a3,a4,a6] |
j |
-14355776178/4231249 |
j-invariant |
L |
6.1001470114886 |
L(r)(E,1)/r! |
Ω |
0.19062959081425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ee2 13464p2 11968a2 |
Quadratic twists by: -4 8 -3 |