Atkin-Lehner |
3- 13+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
45747g |
Isogeny class |
Conductor |
45747 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1773121498691555493 = 310 · 135 · 172 · 234 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17837240,-28991569714] |
[a1,a2,a3,a4,a6] |
Generators |
[4890:23947:1] |
Generators of the group modulo torsion |
j |
860952374874756362733625/2432265430303917 |
j-invariant |
L |
2.3699918823212 |
L(r)(E,1)/r! |
Ω |
0.073462840427061 |
Real period |
R |
4.0326372294829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15249e2 |
Quadratic twists by: -3 |