Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bh |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8.6269110539091E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18711623,27769427047] |
[a1,a2,a3,a4,a6] |
Generators |
[263473812:-15044766965:46656] |
Generators of the group modulo torsion |
j |
248656466619387/29607177800 |
j-invariant |
L |
10.045497526028 |
L(r)(E,1)/r! |
Ω |
0.10408264542749 |
Real period |
R |
8.0428854435719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47610k2 2070m4 |
Quadratic twists by: -3 -23 |