Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cx |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
281259183713508 = 22 · 33 · 73 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-425123,106650621] |
[a1,a2,a3,a4,a6] |
j |
1760384222493625/58270212 |
j-invariant |
L |
3.0751700630498 |
L(r)(E,1)/r! |
Ω |
0.5125283568628 |
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 |
6006p1 |
Quadratic twists by: 13 |