Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cg |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-6.6332217089773E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2990561,-2345742465] |
[a1,a2,a3,a4,a6] |
Generators |
[8878089384571291:328630129995546624:3216231793081] |
Generators of the group modulo torsion |
j |
-11283450590382195961/2530373271552000 |
j-invariant |
L |
8.4918401563708 |
L(r)(E,1)/r! |
Ω |
0.056725127461023 |
Real period |
R |
18.712695335692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999198279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680dv1 3990g1 |
Quadratic twists by: -4 8 |