Atkin-Lehner |
2- 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350bt |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
deg |
4276224 |
Modular degree for the optimal curve |
Δ |
-1.6196356105574E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4543713,-4202655969] |
[a1,a2,a3,a4,a6] |
j |
-663951516514444694089/103656679075676160 |
j-invariant |
L |
3.280800365998 |
L(r)(E,1)/r! |
Ω |
0.051262505713035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870e1 |
Quadratic twists by: 5 |