Atkin-Lehner |
7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50869b |
Isogeny class |
Conductor |
50869 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1790208 |
Modular degree for the optimal curve |
Δ |
-6.100175034556E+21 |
Discriminant |
Eigenvalues |
-1 0 0 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3774985,4700994016] |
[a1,a2,a3,a4,a6] |
Generators |
[221590410:56643720973:3375] |
Generators of the group modulo torsion |
j |
-1232563155193931625/1263811150297423 |
j-invariant |
L |
3.2775174447648 |
L(r)(E,1)/r! |
Ω |
0.12221003171085 |
Real period |
R |
8.9395755783002 |
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 |
3913a1 |
Quadratic twists by: 13 |