Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960ce |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1198576839720960000 = 218 · 33 · 54 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6950440,7055001712] |
[a1,a2,a3,a4,a6] |
j |
9065687039422119749161/292621298760000 |
j-invariant |
L |
2.0420567606462 |
L(r)(E,1)/r! |
Ω |
0.25525709600782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870i3 |
Quadratic twists by: -4 |