Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bp |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.6766312631891E+26 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156276864,1604393496576] |
[a1,a2,a3,a4,a6] |
Generators |
[-1999680:12582912:125] |
Generators of the group modulo torsion |
j |
-58169016237585194137/119573538788081664 |
j-invariant |
L |
6.603718414683 |
L(r)(E,1)/r! |
Ω |
0.044457931810106 |
Real period |
R |
4.6418308745316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9438bd2 6864o2 |
Quadratic twists by: -4 -11 |