Atkin-Lehner |
2+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800n |
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 |
[1:9:1] [9:13:1] |
Generators of the group modulo torsion |
j |
138240/53 |
j-invariant |
L |
10.197680857577 |
L(r)(E,1)/r! |
Ω |
1.9587848991314 |
Real period |
R |
5.2061259316443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800bv1 10600b1 84800bb1 |
Quadratic twists by: -4 8 5 |