Atkin-Lehner |
2+ 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320i |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
1364819984000000 = 210 · 56 · 112 · 893 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231323,-42786022] |
[a1,a2,a3,a4,a6] |
j |
1336842375411088836/1332832015625 |
j-invariant |
L |
0.870824850469 |
L(r)(E,1)/r! |
Ω |
0.21770622466992 |
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 |
39160a1 |
Quadratic twists by: -4 |