Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dw |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
305201007820800000 = 222 · 39 · 55 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1751907,-892117406] |
[a1,a2,a3,a4,a6] |
Generators |
[-777:130:1] |
Generators of the group modulo torsion |
j |
199144987475642209/102211200000 |
j-invariant |
L |
5.8863447894138 |
L(r)(E,1)/r! |
Ω |
0.13123061712591 |
Real period |
R |
2.242748269379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190y1 21840bs1 |
Quadratic twists by: -4 -3 |