Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032bi |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.3632320722674E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 2 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9631437,3864344434] |
[a1,a2,a3,a4,a6] |
Generators |
[30118983:-2519365288:12167] [39675:3930344:27] |
Generators of the group modulo torsion |
j |
33090970201326732239/21310335461500826 |
j-invariant |
L |
9.0777597729063 |
L(r)(E,1)/r! |
Ω |
0.068907816928567 |
Real period |
R |
16.467216960151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7254f2 6448i2 |
Quadratic twists by: -4 -3 |