Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12495j |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
374856185025 = 32 · 52 · 78 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2084,21557] |
[a1,a2,a3,a4,a6] |
Generators |
[6262:171795:8] |
Generators of the group modulo torsion |
j |
8502154921/3186225 |
j-invariant |
L |
6.497364241677 |
L(r)(E,1)/r! |
Ω |
0.87035728696095 |
Real period |
R |
3.7325845023738 |
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 |
37485bv2 62475x2 1785g2 |
Quadratic twists by: -3 5 -7 |