Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fq |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7547000137334784 = 214 · 312 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53436,-2266000] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:1568:1] |
Generators of the group modulo torsion |
j |
1412791482832/631868769 |
j-invariant |
L |
5.747433437744 |
L(r)(E,1)/r! |
Ω |
0.32737552069546 |
Real period |
R |
2.1945109949581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76608bg2 19152t2 25536ck2 |
Quadratic twists by: -4 8 -3 |