Atkin-Lehner |
2+ 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144o |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
959273238528 = 218 · 35 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4353,-98559] |
[a1,a2,a3,a4,a6] |
j |
34805634625/3659337 |
j-invariant |
L |
1.1834958399625 |
L(r)(E,1)/r! |
Ω |
0.59174791862768 |
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 |
78144cq1 1221b1 |
Quadratic twists by: -4 8 |