Atkin-Lehner |
2- 3+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
64752j |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10592391168 = 212 · 33 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43752,3537072] |
[a1,a2,a3,a4,a6] |
Generators |
[146:490:1] |
Generators of the group modulo torsion |
j |
2261348105231593/2586033 |
j-invariant |
L |
7.2196573366448 |
L(r)(E,1)/r! |
Ω |
1.0816999191002 |
Real period |
R |
3.3371812315676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4047b2 |
Quadratic twists by: -4 |