Atkin-Lehner |
2+ 5- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85550m |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
-15126972387500000 = -1 · 25 · 58 · 295 · 59 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 2 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-696326,223669048] |
[a1,a2,a3,a4,a6] |
Generators |
[352:4536:1] |
Generators of the group modulo torsion |
j |
-95587392649924345/38725049312 |
j-invariant |
L |
5.701178469981 |
L(r)(E,1)/r! |
Ω |
0.38716417413303 |
Real period |
R |
0.98169869594455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85550v1 |
Quadratic twists by: 5 |