Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12495p |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
37201483814355 = 312 · 5 · 77 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-156238,23755001] |
[a1,a2,a3,a4,a6] |
Generators |
[10861:1125734:1] |
Generators of the group modulo torsion |
j |
3585019225176649/316207395 |
j-invariant |
L |
6.7988840795631 |
L(r)(E,1)/r! |
Ω |
0.62080759342027 |
Real period |
R |
3.6505589126283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37485x4 62475i4 1785b3 |
Quadratic twists by: -3 5 -7 |