Atkin-Lehner |
2- 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078co |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1324611540252 = -1 · 22 · 34 · 7 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,757,-54475] |
[a1,a2,a3,a4,a6] |
j |
9938375/274428 |
j-invariant |
L |
1.6581477749076 |
L(r)(E,1)/r! |
Ω |
0.41453695375335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462a1 |
Quadratic twists by: 13 |