Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dn |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1520074752 = 215 · 3 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-9345] |
[a1,a2,a3,a4,a6] |
Generators |
[66:477:1] |
Generators of the group modulo torsion |
j |
1953125000/46389 |
j-invariant |
L |
7.8628392055684 |
L(r)(E,1)/r! |
Ω |
0.88986328231014 |
Real period |
R |
4.4180040697356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bv2 31584q2 |
Quadratic twists by: -4 8 |