Atkin-Lehner |
2+ 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bb |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
9751569924096 = 215 · 33 · 72 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11+ 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11327,-439918] |
[a1,a2,a3,a4,a6] |
j |
950881924598593/57701597184 |
j-invariant |
L |
2.7872274812351 |
L(r)(E,1)/r! |
Ω |
0.46453791270013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078dl1 |
Quadratic twists by: 13 |