Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608cp |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
41689735299072 = 216 · 314 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103116,-12741136] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:52:1] [2837:150095:1] |
Generators of the group modulo torsion |
j |
2538016415428/872613 |
j-invariant |
L |
9.5546088841553 |
L(r)(E,1)/r! |
Ω |
0.26642624336807 |
Real period |
R |
17.931058073297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608dz4 9576z3 25536u4 |
Quadratic twists by: -4 8 -3 |