Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39160a |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
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] |
Generators |
[-11058:224000:27] |
Generators of the group modulo torsion |
j |
1336842375411088836/1332832015625 |
j-invariant |
L |
6.1025857466219 |
L(r)(E,1)/r! |
Ω |
0.47877230755534 |
Real period |
R |
6.373160738747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320i1 |
Quadratic twists by: -4 |