Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104ch |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
-3219240916290816 = -1 · 28 · 36 · 297 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 1 -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36565839,-85106244726] |
[a1,a2,a3,a4,a6] |
Generators |
[7445538360094061986:1044681322765076953354:345254019471577] |
Generators of the group modulo torsion |
j |
-48707390098512/29 |
j-invariant |
L |
3.4671583794451 |
L(r)(E,1)/r! |
Ω |
0.030697334974071 |
Real period |
R |
28.236639942634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30276l1 13456k1 4176bj1 |
Quadratic twists by: -4 -3 29 |