Atkin-Lehner |
2+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
106742c |
Isogeny class |
Conductor |
106742 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-109762304854311542 = -1 · 2 · 195 · 536 |
Discriminant |
Eigenvalues |
2+ 1 4 3 2 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-196689,-37183086] |
[a1,a2,a3,a4,a6] |
j |
-37966934881/4952198 |
j-invariant |
L |
5.0639416538849 |
L(r)(E,1)/r! |
Ω |
0.11253204216895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38b2 |
Quadratic twists by: 53 |