Atkin-Lehner |
2+ 3- 5- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
42330p |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
514309500 = 22 · 36 · 53 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2288,41906] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:277:1] |
Generators of the group modulo torsion |
j |
1323789360449401/514309500 |
j-invariant |
L |
5.7367223843431 |
L(r)(E,1)/r! |
Ω |
1.6217877877468 |
Real period |
R |
0.8843207520256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126990bv1 |
Quadratic twists by: -3 |