Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502bg |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
5836511495232 = 26 · 39 · 113 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22331,1284715] |
[a1,a2,a3,a4,a6] |
Generators |
[95:70:1] |
Generators of the group modulo torsion |
j |
47006795529/222784 |
j-invariant |
L |
9.6530037125194 |
L(r)(E,1)/r! |
Ω |
0.76202466024995 |
Real period |
R |
1.0556311695024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999099217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502b1 128502d1 |
Quadratic twists by: -3 -11 |