Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104cg |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-3219240916290816 = -1 · 28 · 36 · 297 |
Discriminant |
Eigenvalues |
2- 3- -3 4 -3 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32799,3560794] |
[a1,a2,a3,a4,a6] |
Generators |
[2262:31958:27] |
Generators of the group modulo torsion |
j |
-35152/29 |
j-invariant |
L |
5.418569058113 |
L(r)(E,1)/r! |
Ω |
0.41056301146186 |
Real period |
R |
3.2994746629697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30276m1 13456e1 4176bi1 |
Quadratic twists by: -4 -3 29 |