Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84966dj |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-177269231630061144 = -1 · 23 · 33 · 76 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1842686259,30444879345033] |
[a1,a2,a3,a4,a6] |
j |
-843137281012581793/216 |
j-invariant |
L |
4.7398149193415 |
L(r)(E,1)/r! |
Ω |
0.1316615246586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734l2 84966dx2 |
Quadratic twists by: -7 17 |