Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12495k |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1890031185 = 33 · 5 · 77 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16416,808191] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-21:1] |
Generators of the group modulo torsion |
j |
4158523459441/16065 |
j-invariant |
L |
3.2758272790029 |
L(r)(E,1)/r! |
Ω |
1.3003861716878 |
Real period |
R |
1.6794125469929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37485bs1 62475w1 1785h1 |
Quadratic twists by: -3 5 -7 |