Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64736x |
Isogeny class |
Conductor |
64736 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
4935168 |
Modular degree for the optimal curve |
Δ |
1.1530116067387E+21 |
Discriminant |
Eigenvalues |
2- -3 0 7- -2 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3046060,1232101792] |
[a1,a2,a3,a4,a6] |
Generators |
[-1667:40957:1] [-1156:56644:1] |
Generators of the group modulo torsion |
j |
109392552000/40353607 |
j-invariant |
L |
6.2331701203852 |
L(r)(E,1)/r! |
Ω |
0.14111770758465 |
Real period |
R |
0.81796309108669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64736e1 129472br1 64736o1 |
Quadratic twists by: -4 8 17 |