Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300bg |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-41159482884000000 = -1 · 28 · 36 · 56 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,65892,7294788] |
[a1,a2,a3,a4,a6] |
Generators |
[1008:-33150:1] |
Generators of the group modulo torsion |
j |
7909612346288/10289870721 |
j-invariant |
L |
7.3179881716456 |
L(r)(E,1)/r! |
Ω |
0.24369533480284 |
Real period |
R |
0.2085364594499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652a2 |
Quadratic twists by: 5 |