Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960ci |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.5149381122303E+18 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,524720,24767872] |
[a1,a2,a3,a4,a6] |
Generators |
[482:19734:1] |
Generators of the group modulo torsion |
j |
3900729099432901679/2322982937556225 |
j-invariant |
L |
7.0308092164725 |
L(r)(E,1)/r! |
Ω |
0.1405694951071 |
Real period |
R |
6.2520758977631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999988133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4935i4 |
Quadratic twists by: -4 |