Atkin-Lehner |
7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
66913d |
Isogeny class |
Conductor |
66913 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3769920 |
Modular degree for the optimal curve |
Δ |
-2.619609007972E+21 |
Discriminant |
Eigenvalues |
0 1 -4 7+ 11- -3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2900935,-1563395465] |
[a1,a2,a3,a4,a6] |
Generators |
[561113:-29829031:343] |
Generators of the group modulo torsion |
j |
1523987641045090304/1478700991934243 |
j-invariant |
L |
2.9528182977702 |
L(r)(E,1)/r! |
Ω |
0.078592392557504 |
Real period |
R |
1.3418321150685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6083e1 |
Quadratic twists by: -11 |