Atkin-Lehner |
3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075f |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12705414046875 = -1 · 33 · 56 · 116 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4720,-118778] |
[a1,a2,a3,a4,a6] |
j |
27570978261/30116537 |
j-invariant |
L |
1.5356360844958 |
L(r)(E,1)/r! |
Ω |
0.38390902109995 |
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 |
42075h2 1683a2 |
Quadratic twists by: -3 5 |