Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69384l |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
184939981341696 = 210 · 32 · 78 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54112,-4818640] |
[a1,a2,a3,a4,a6] |
Generators |
[403195833:57704659390:19683] |
Generators of the group modulo torsion |
j |
145453541188/1535121 |
j-invariant |
L |
9.1333846292871 |
L(r)(E,1)/r! |
Ω |
0.31322207243692 |
Real period |
R |
14.579727025788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9912e2 |
Quadratic twists by: -7 |