Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ek |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
90880 |
Modular degree for the optimal curve |
Δ |
-16639385280 = -1 · 26 · 3 · 5 · 7 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35,-6195] |
[a1,a2,a3,a4,a6] |
Generators |
[2420:373:125] |
Generators of the group modulo torsion |
j |
-76225024/259990395 |
j-invariant |
L |
3.7535464021743 |
L(r)(E,1)/r! |
Ω |
0.56045906420722 |
Real period |
R |
6.6972711514994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000212767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680gr1 63840q1 |
Quadratic twists by: -4 8 |