Atkin-Lehner |
2- 3+ 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
123504y |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-3.9693625464486E+21 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 2 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2957464,-3607420688] |
[a1,a2,a3,a4,a6] |
Generators |
[28913797655436:4841342690734912:1027243729] |
Generators of the group modulo torsion |
j |
-698429076859611282457/969082652941559424 |
j-invariant |
L |
9.4311246186362 |
L(r)(E,1)/r! |
Ω |
0.054785382206454 |
Real period |
R |
21.518341751947 |
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 |
15438f1 |
Quadratic twists by: -4 |