Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608bv |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
33359413248 = 214 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33564,-2366768] |
[a1,a2,a3,a4,a6] |
Generators |
[494:10080:1] |
Generators of the group modulo torsion |
j |
350104249168/2793 |
j-invariant |
L |
7.5172940549141 |
L(r)(E,1)/r! |
Ω |
0.35272101410219 |
Real period |
R |
2.6640367866694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ey1 9576g1 25536bj1 |
Quadratic twists by: -4 8 -3 |