Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775cf |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.7225810190423E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29597251,-61927832977] |
[a1,a2,a3,a4,a6] |
Generators |
[-24874:63883:8] |
Generators of the group modulo torsion |
j |
1559802282754777489/1481059636875 |
j-invariant |
L |
7.5602079910989 |
L(r)(E,1)/r! |
Ω |
0.064730873809139 |
Real period |
R |
2.433218090218 |
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 |
9555l3 6825b3 |
Quadratic twists by: 5 -7 |