Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fq |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
141289257931702272 = 216 · 39 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-422796,104257424] |
[a1,a2,a3,a4,a6] |
Generators |
[-470:14112:1] |
Generators of the group modulo torsion |
j |
174947951977348/2957342913 |
j-invariant |
L |
5.747433437744 |
L(r)(E,1)/r! |
Ω |
0.32737552069546 |
Real period |
R |
1.097255497479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bg3 19152t4 25536ck3 |
Quadratic twists by: -4 8 -3 |