Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15732i |
Isogeny class |
Conductor |
15732 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-524913945225984 = -1 · 28 · 36 · 19 · 236 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12264,970468] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:603:1] |
Generators of the group modulo torsion |
j |
1093081751552/2812681891 |
j-invariant |
L |
5.7442563802778 |
L(r)(E,1)/r! |
Ω |
0.36459308364233 |
Real period |
R |
3.9388133223017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62928x2 1748f2 |
Quadratic twists by: -4 -3 |