Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
306a |
Isogeny class |
Conductor |
306 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-729753247683072 = -1 · 29 · 310 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16285,1020323] |
[a1,a2,a3,a4,a6] |
j |
655215969476375/1001033261568 |
j-invariant |
L |
2.0683060777422 |
L(r)(E,1)/r! |
Ω |
0.3447176796237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
2448p4 9792p4 102c4 7650p4 |
Quadratic twists by: -4 8 -3 5 |