Atkin-Lehner |
2+ 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496l |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2724793344 = 210 · 34 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-700824,-225586116] |
[a1,a2,a3,a4,a6] |
Generators |
[298158:8183105:216] |
Generators of the group modulo torsion |
j |
37175025336867591268/2660931 |
j-invariant |
L |
3.6676184342266 |
L(r)(E,1)/r! |
Ω |
0.16500505968249 |
Real period |
R |
11.113654457878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992t4 124488bv4 |
Quadratic twists by: -4 -3 |