Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cg |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28554240 |
Modular degree for the optimal curve |
Δ |
4.2345095784591E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 1 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-174305985,880268575617] |
[a1,a2,a3,a4,a6] |
Generators |
[-14161:713200:1] |
Generators of the group modulo torsion |
j |
689102501118152/4982259375 |
j-invariant |
L |
5.7771114551475 |
L(r)(E,1)/r! |
Ω |
0.078276935874065 |
Real period |
R |
7.3803495880379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998975912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160em1 58080ca1 116160cf1 |
Quadratic twists by: -4 8 -11 |