Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12495j |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9003898561875 = 3 · 54 · 710 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14579,-663169] |
[a1,a2,a3,a4,a6] |
Generators |
[786110:21373911:1000] |
Generators of the group modulo torsion |
j |
2912566550041/76531875 |
j-invariant |
L |
6.497364241677 |
L(r)(E,1)/r! |
Ω |
0.43517864348048 |
Real period |
R |
7.4651690047475 |
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 |
37485bv4 62475x4 1785g3 |
Quadratic twists by: -3 5 -7 |