Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600bl |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58824500000000 = 28 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34708,2472912] |
[a1,a2,a3,a4,a6] |
Generators |
[-5220:245196:125] |
Generators of the group modulo torsion |
j |
78608 |
j-invariant |
L |
7.3986071247004 |
L(r)(E,1)/r! |
Ω |
0.62746200342931 |
Real period |
R |
5.8956614777184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9800u2 78400la2 19600bo2 400f2 |
Quadratic twists by: -4 8 5 -7 |