Atkin-Lehner |
2+ 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960l |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1212527112249600 = 28 · 36 · 52 · 76 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30756,1215900] |
[a1,a2,a3,a4,a6] |
j |
12568615025617744/4736434032225 |
j-invariant |
L |
2.6617489029361 |
L(r)(E,1)/r! |
Ω |
0.44362482090307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39480p2 |
Quadratic twists by: -4 |