Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970bt |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
-178469073255827200 = -1 · 28 · 52 · 77 · 112 · 234 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1520520,721825600] |
[a1,a2,a3,a4,a6] |
Generators |
[830:-6050:1] |
Generators of the group modulo torsion |
j |
-3304546753777437169/1516962092800 |
j-invariant |
L |
6.7851347441197 |
L(r)(E,1)/r! |
Ω |
0.31578912902887 |
Real period |
R |
0.33572318089695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999515761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710e1 |
Quadratic twists by: -7 |