Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608db |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
110985967250178048 = 224 · 39 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-279180,54467856] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:9728:1] |
Generators of the group modulo torsion |
j |
466385893875/21509824 |
j-invariant |
L |
5.3631945241779 |
L(r)(E,1)/r! |
Ω |
0.32980845680167 |
Real period |
R |
1.3551286143396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608h3 19152bd3 76608da1 |
Quadratic twists by: -4 8 -3 |