Atkin-Lehner |
2- 3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614j |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
4530240 |
Modular degree for the optimal curve |
Δ |
-3.4222389819064E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2050766,2578470335] |
[a1,a2,a3,a4,a6] |
Generators |
[3801:253651:1] |
Generators of the group modulo torsion |
j |
404518006398493/1451363401728 |
j-invariant |
L |
7.1011233982832 |
L(r)(E,1)/r! |
Ω |
0.1000776380065 |
Real period |
R |
1.3645412508611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64614a1 |
Quadratic twists by: -11 |