Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fz |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9.1521980676E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-147980408,-677364236688] |
[a1,a2,a3,a4,a6] |
Generators |
[-5567449094524:-16007760568800:904231063] |
Generators of the group modulo torsion |
j |
47595748626367201/1215506250000 |
j-invariant |
L |
5.4433130464604 |
L(r)(E,1)/r! |
Ω |
0.043353582424222 |
Real period |
R |
15.694530711169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7350bc4 11760ch3 8400cc4 |
Quadratic twists by: -4 5 -7 |