Atkin-Lehner |
3- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42273f |
Isogeny class |
Conductor |
42273 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-2082377314456821459 = -1 · 37 · 7 · 115 · 615 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11+ -6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,317697,-8358165] |
[a1,a2,a3,a4,a6] |
j |
4864469954100015104/2856484656319371 |
j-invariant |
L |
3.0709292796792 |
L(r)(E,1)/r! |
Ω |
0.15354646398606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14091d2 |
Quadratic twists by: -3 |