Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320y |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
120852864000 = 210 · 33 · 53 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8187,-284634] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:20:1] |
Generators of the group modulo torsion |
j |
2194999180812/4371125 |
j-invariant |
L |
6.3187457805461 |
L(r)(E,1)/r! |
Ω |
0.50196139075243 |
Real period |
R |
1.0490092625827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67320a2 |
Quadratic twists by: -3 |