Atkin-Lehner |
2+ 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106782d |
Isogeny class |
Conductor |
106782 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
113972933320828608 = 26 · 3 · 132 · 378 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1415574,-648643308] |
[a1,a2,a3,a4,a6] |
j |
122267653919137/44421312 |
j-invariant |
L |
2.2146024028961 |
L(r)(E,1)/r! |
Ω |
0.1384126678705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2886b2 |
Quadratic twists by: 37 |