Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608f |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
102961152 = 212 · 33 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276,1696] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:9:1] [-6:56:1] |
Generators of the group modulo torsion |
j |
21024576/931 |
j-invariant |
L |
9.8951775842924 |
L(r)(E,1)/r! |
Ω |
1.8676273915006 |
Real period |
R |
1.324565278566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608r2 38304a1 76608d2 |
Quadratic twists by: -4 8 -3 |