Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200bz |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.4895550710558E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-343057575,-1591627787750] |
[a1,a2,a3,a4,a6] |
Generators |
[470946558533594345:-209710378191589315200:2354229369127] |
Generators of the group modulo torsion |
j |
13015144447800784/4341909875625 |
j-invariant |
L |
7.2326548580461 |
L(r)(E,1)/r! |
Ω |
0.036020903838039 |
Real period |
R |
25.098810998037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29400ea2 17640cb2 12600s2 |
Quadratic twists by: -3 5 -7 |