Atkin-Lehner |
7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50869b |
Isogeny class |
Conductor |
50869 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.5339400230592E+22 |
Discriminant |
Eigenvalues |
-1 0 0 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70958400,230007294560] |
[a1,a2,a3,a4,a6] |
Generators |
[7091094:3628628212:27] |
Generators of the group modulo torsion |
j |
8186062108960937489625/3177958819292803 |
j-invariant |
L |
3.2775174447648 |
L(r)(E,1)/r! |
Ω |
0.12221003171085 |
Real period |
R |
4.4697877891501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3913a2 |
Quadratic twists by: 13 |