Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775cf |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4.4654154130201E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8463499,-3680552977] |
[a1,a2,a3,a4,a6] |
Generators |
[57198:-5227567:8] |
Generators of the group modulo torsion |
j |
36472485598112591/24291459037755 |
j-invariant |
L |
7.5602079910989 |
L(r)(E,1)/r! |
Ω |
0.064730873809139 |
Real period |
R |
9.7328723608719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555l4 6825b4 |
Quadratic twists by: 5 -7 |