Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800bv |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
21708800 = 214 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -3 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[49:337:1] |
Generators of the group modulo torsion |
j |
138240/53 |
j-invariant |
L |
6.5693654086238 |
L(r)(E,1)/r! |
Ω |
1.6488922408204 |
Real period |
R |
3.9841083895742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800n1 21200a1 84800cl1 |
Quadratic twists by: -4 8 5 |