Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104cd |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-206031418642612224 = -1 · 214 · 36 · 297 |
Discriminant |
Eigenvalues |
2- 3- 3 2 1 3 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143811,30291138] |
[a1,a2,a3,a4,a6] |
Generators |
[36395:452458:125] |
Generators of the group modulo torsion |
j |
-185193/116 |
j-invariant |
L |
10.260185365883 |
L(r)(E,1)/r! |
Ω |
0.29298646853407 |
Real period |
R |
4.3774143421607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15138h1 13456l1 4176bg1 |
Quadratic twists by: -4 -3 29 |