Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
51660n |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
10293771600 = 24 · 37 · 52 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,20729] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:205:1] |
Generators of the group modulo torsion |
j |
29025255424/882525 |
j-invariant |
L |
6.3275858484463 |
L(r)(E,1)/r! |
Ω |
1.2797998201979 |
Real period |
R |
0.82403327829522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220a1 |
Quadratic twists by: -3 |