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 |
-27776283094024192 = -1 · 224 · 73 · 136 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48447,-6904639] |
[a1,a2,a3,a4,a6] |
Generators |
[43860166256103855:-1153845500924233216:69198737241375] |
Generators of the group modulo torsion |
j |
9938375/21952 |
j-invariant |
L |
9.6267345100615 |
L(r)(E,1)/r! |
Ω |
0.19428656340548 |
Real period |
R |
24.774576120023 |
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 |
75712cy3 2366j3 448c3 |
Quadratic twists by: -4 8 13 |