Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712h |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2321870521492307968 = -1 · 236 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1844353,-966251391] |
[a1,a2,a3,a4,a6] |
Generators |
[87143889355609419037110127478838715419591002821365:2110875799641861880520753721735217886622714125320192:46870363200351512438660799483140132372880919125] |
Generators of the group modulo torsion |
j |
-548347731625/1835008 |
j-invariant |
L |
9.6267345100615 |
L(r)(E,1)/r! |
Ω |
0.064762187801828 |
Real period |
R |
74.323728360069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75712cy5 2366j5 448c5 |
Quadratic twists by: -4 8 13 |