Atkin-Lehner |
2+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85400l |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
23338112000 = 210 · 53 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5328,-147748] |
[a1,a2,a3,a4,a6] |
Generators |
[-1113:316:27] |
Generators of the group modulo torsion |
j |
130703705492/182329 |
j-invariant |
L |
11.289391931877 |
L(r)(E,1)/r! |
Ω |
0.55884078015043 |
Real period |
R |
5.0503615392015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85400be2 |
Quadratic twists by: 5 |