Atkin-Lehner |
3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829m |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.0142310854312E+21 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43617792,110852889615] |
[a1,a2,a3,a4,a6] |
Generators |
[26310:423435:8] |
Generators of the group modulo torsion |
j |
78005729753752541345137/17120681734916529 |
j-invariant |
L |
5.7246247515048 |
L(r)(E,1)/r! |
Ω |
0.14335202473978 |
Real period |
R |
2.495877177904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000041 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8547a3 |
Quadratic twists by: -7 |