Atkin-Lehner |
2+ 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770k |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
5616265603763404800 = 220 · 318 · 52 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2242080,1287705600] |
[a1,a2,a3,a4,a6] |
j |
1709816905432357102081/7704068043571200 |
j-invariant |
L |
0.96689497107574 |
L(r)(E,1)/r! |
Ω |
0.24172374266921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590y1 |
Quadratic twists by: -3 |