Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360y |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-2.0917736931863E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,607584,123052896] |
[a1,a2,a3,a4,a6] |
Generators |
[348:-19404:1] |
Generators of the group modulo torsion |
j |
102949393183198/86815346805 |
j-invariant |
L |
5.5659982313556 |
L(r)(E,1)/r! |
Ω |
0.13968196283357 |
Real period |
R |
0.6226195655909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999246409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680cp5 2640m6 |
Quadratic twists by: -4 -7 |