Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138d |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-40130376426 = -1 · 2 · 35 · 75 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 5 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-864,-14094] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-9:1] |
Generators of the group modulo torsion |
j |
-14544652121/8168202 |
j-invariant |
L |
2.2044188295333 |
L(r)(E,1)/r! |
Ω |
0.42905668487909 |
Real period |
R |
2.568913277921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104cw2 36414cm2 84966ce2 12138n2 |
Quadratic twists by: -4 -3 -7 17 |