Atkin-Lehner |
2+ 3- 5- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
96570f |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
468860869800000 = 26 · 310 · 55 · 29 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24984,1113088] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:824:1] [-88:1664:1] |
Generators of the group modulo torsion |
j |
2365875436837249/643156200000 |
j-invariant |
L |
8.674765603545 |
L(r)(E,1)/r! |
Ω |
0.49086761370997 |
Real period |
R |
0.88361559824241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32190p1 |
Quadratic twists by: -3 |