Atkin-Lehner |
3+ 5- 29+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
116145c |
Isogeny class |
Conductor |
116145 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
1232207276175 = 33 · 52 · 295 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5- -3 4 -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87624,10005293] |
[a1,a2,a3,a4,a6] |
Generators |
[172:-71:1] |
Generators of the group modulo torsion |
j |
2755700150154811803/45637306525 |
j-invariant |
L |
5.8717351384592 |
L(r)(E,1)/r! |
Ω |
0.79124323150782 |
Real period |
R |
1.8552244479703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999811333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116145b1 |
Quadratic twists by: -3 |