Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bl |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-16352448000000 = -1 · 212 · 3 · 56 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3019,182781] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2875:1] |
Generators of the group modulo torsion |
j |
742692847616/3992296875 |
j-invariant |
L |
2.9427570348211 |
L(r)(E,1)/r! |
Ω |
0.50157808337682 |
Real period |
R |
0.97783280820602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2415d2 115920ec2 |
Quadratic twists by: -4 -3 |