Atkin-Lehner |
2- 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352bx |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
947092234333519872 = 216 · 37 · 136 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 0 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-295009,40239745] |
[a1,a2,a3,a4,a6] |
Generators |
[-507:7696:1] |
Generators of the group modulo torsion |
j |
43326244873846372/14451480626427 |
j-invariant |
L |
3.2724124770737 |
L(r)(E,1)/r! |
Ω |
0.25700763515112 |
Real period |
R |
1.0610620174302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352bf2 23088i2 |
Quadratic twists by: -4 8 |