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 |
deg |
11104128 |
Modular degree for the optimal curve |
Δ |
-8.2706732709321E+21 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22714539,41887768089] |
[a1,a2,a3,a4,a6] |
j |
-1579268174113/10077696 |
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 |
1734l1 84966dx1 |
Quadratic twists by: -7 17 |