Atkin-Lehner |
2- 3+ 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330ba |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
40636800000000000 = 216 · 32 · 511 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 1 5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-275960,54833465] |
[a1,a2,a3,a4,a6] |
Generators |
[453:4573:1] |
Generators of the group modulo torsion |
j |
2324139647130109549441/40636800000000000 |
j-invariant |
L |
9.0871172533708 |
L(r)(E,1)/r! |
Ω |
0.36310072265954 |
Real period |
R |
0.071097831549768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990i1 |
Quadratic twists by: -3 |