Atkin-Lehner |
2- 7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662u |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
57991542224 = 24 · 7 · 113 · 733 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 11+ 0 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7125,-231791] |
[a1,a2,a3,a4,a6] |
Generators |
[120:743:1] |
Generators of the group modulo torsion |
j |
30054123886571/43569904 |
j-invariant |
L |
6.8551809588766 |
L(r)(E,1)/r! |
Ω |
0.51968577691209 |
Real period |
R |
0.54962547194914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662i1 |
Quadratic twists by: -11 |