Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cd |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-34763301192204288 = -1 · 219 · 38 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108300,-16390672] |
[a1,a2,a3,a4,a6] |
j |
-735091890625/181908738 |
j-invariant |
L |
2.0782955818046 |
L(r)(E,1)/r! |
Ω |
0.12989348675795 |
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 |
107712dt2 3366d2 35904b2 |
Quadratic twists by: -4 8 -3 |