Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320cd |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
3072 |
Product of Tamagawa factors cp |
Δ |
2.743558264161E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72546240,-224107382412] |
[a1,a2,a3,a4,a6] |
Generators |
[-5829:27300:1] |
Generators of the group modulo torsion |
j |
10308809044982316013479361/669814029336181640625 |
j-invariant |
L |
7.589990460626 |
L(r)(E,1)/r! |
Ω |
0.051941346803627 |
Real period |
R |
3.0442953637852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
2145e3 102960ds4 |
Quadratic twists by: -4 -3 |