Atkin-Lehner |
2- 3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330bx |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-176647454208000 = -1 · 212 · 37 · 53 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20012,1268399] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:931:1] |
Generators of the group modulo torsion |
j |
-1215758517658489/242314752000 |
j-invariant |
L |
9.5303902553446 |
L(r)(E,1)/r! |
Ω |
0.54692458109772 |
Real period |
R |
0.72605914544117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13110n2 |
Quadratic twists by: -3 |