Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208u |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3578734489085952 = -1 · 211 · 3 · 77 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30168,2063508] |
[a1,a2,a3,a4,a6] |
Generators |
[6540:4916366:3375] |
Generators of the group modulo torsion |
j |
12601744846/14852901 |
j-invariant |
L |
9.6824240139701 |
L(r)(E,1)/r! |
Ω |
0.29654650500979 |
Real period |
R |
8.1626522732182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34104e3 9744c4 |
Quadratic twists by: -4 -7 |