Atkin-Lehner |
2+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344t |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
40394077392896 = 212 · 43 · 475 |
Discriminant |
Eigenvalues |
2+ -2 3 -2 2 4 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-549529,-156978681] |
[a1,a2,a3,a4,a6] |
Generators |
[-428110:15463:1000] |
Generators of the group modulo torsion |
j |
4480602356217633472/9861835301 |
j-invariant |
L |
6.2166828522874 |
L(r)(E,1)/r! |
Ω |
0.17534843419865 |
Real period |
R |
3.5453311905254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000197122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344f1 64672c1 |
Quadratic twists by: -4 8 |