Atkin-Lehner |
2- 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bk |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
70640640 = 210 · 33 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128,-349] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:7:1] |
Generators of the group modulo torsion |
j |
8527173507/2616320 |
j-invariant |
L |
9.2323906684781 |
L(r)(E,1)/r! |
Ω |
1.4541954740407 |
Real period |
R |
1.2697592357144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45990j1 |
Quadratic twists by: -3 |