Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520de |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.4540859116525E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,350291517,-1275865464638] |
[a1,a2,a3,a4,a6] |
Generators |
[67527:18174002:1] |
Generators of the group modulo torsion |
j |
1591934139020114746758719/1156766383092650262660 |
j-invariant |
L |
6.8980128521939 |
L(r)(E,1)/r! |
Ω |
0.025013045917557 |
Real period |
R |
8.6180188663866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190l8 21840cl7 |
Quadratic twists by: -4 -3 |