Atkin-Lehner |
2- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550u |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
534687500000 = 25 · 510 · 29 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -1 5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3688,-79008] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:64:1] |
Generators of the group modulo torsion |
j |
355045312441/34220000 |
j-invariant |
L |
7.7875560694991 |
L(r)(E,1)/r! |
Ω |
0.61642709765473 |
Real period |
R |
1.2633377244471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17110c1 |
Quadratic twists by: 5 |