Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736eu |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
619197530112 = 215 · 36 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203052,35217520] |
[a1,a2,a3,a4,a6] |
Generators |
[-426:6664:1] [8:5796:1] |
Generators of the group modulo torsion |
j |
38758598383688/25921 |
j-invariant |
L |
9.040361169668 |
L(r)(E,1)/r! |
Ω |
0.75618177971838 |
Real period |
R |
1.4944093821561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736fe2 46368bn2 10304v2 |
Quadratic twists by: -4 8 -3 |