Atkin-Lehner |
3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075h |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-9262246840171875 = -1 · 39 · 56 · 116 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11- 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,42483,3164516] |
[a1,a2,a3,a4,a6] |
j |
27570978261/30116537 |
j-invariant |
L |
3.2678118664644 |
L(r)(E,1)/r! |
Ω |
0.2723176555478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42075f2 1683d2 |
Quadratic twists by: -3 5 |