Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
64386cb |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
396380160 |
Modular degree for the optimal curve |
Δ |
-3.4732933089508E+33 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15851345665,2729459885126951] |
[a1,a2,a3,a4,a6] |
Generators |
[-40493:44977942:1] |
Generators of the group modulo torsion |
j |
5135779311915892250749430375/40497264752720201543319552 |
j-invariant |
L |
8.3777877177395 |
L(r)(E,1)/r! |
Ω |
0.010274145982392 |
Real period |
R |
2.9978832487481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21462r1 9198g1 |
Quadratic twists by: -3 -7 |