Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960x |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18550686873600 = 211 · 38 · 52 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1987347,-1078347314] |
[a1,a2,a3,a4,a6] |
Generators |
[-1083258:5260:1331] |
Generators of the group modulo torsion |
j |
581416486276209698/12425175 |
j-invariant |
L |
7.1568220097306 |
L(r)(E,1)/r! |
Ω |
0.12715432282823 |
Real period |
R |
7.0355669498932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920bf4 19320v3 |
Quadratic twists by: -4 -3 |