Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dv |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
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 |
[129860:4353615:64] |
Generators of the group modulo torsion |
j |
-11283450590382195961/2530373271552000 |
j-invariant |
L |
5.2137457136681 |
L(r)(E,1)/r! |
Ω |
0.15437722567601 |
Real period |
R |
8.4431911128598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680cg1 31920cb1 |
Quadratic twists by: -4 8 |