Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12495k |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4650185476794375 = -1 · 312 · 54 · 77 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12494,3237611] |
[a1,a2,a3,a4,a6] |
Generators |
[11:1832:1] |
Generators of the group modulo torsion |
j |
1833318007919/39525924375 |
j-invariant |
L |
3.2758272790029 |
L(r)(E,1)/r! |
Ω |
0.32509654292195 |
Real period |
R |
0.41985313674822 |
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 |
37485bs3 62475w3 1785h4 |
Quadratic twists by: -3 5 -7 |