Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800b |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-3642132267008000000 = -1 · 242 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 0 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-452833,-149105537] |
[a1,a2,a3,a4,a6] |
Generators |
[313264881490640613:7709554689744528800:278457869465901] |
Generators of the group modulo torsion |
j |
-2507141976625/889192448 |
j-invariant |
L |
9.8391369678355 |
L(r)(E,1)/r! |
Ω |
0.090409425357388 |
Real period |
R |
27.20716598115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800bo1 2650b1 3392g1 |
Quadratic twists by: -4 8 5 |