Atkin-Lehner |
2+ 3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450be |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
62798400000000 = 212 · 32 · 58 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17776,827198] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:1346:1] |
Generators of the group modulo torsion |
j |
39753071528689/4019097600 |
j-invariant |
L |
6.0245140930556 |
L(r)(E,1)/r! |
Ω |
0.60398063597689 |
Real period |
R |
1.246835108121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690j1 |
Quadratic twists by: 5 |