Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
88752u |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
26720856746262528 = 215 · 3 · 437 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162830952,-799694450832] |
[a1,a2,a3,a4,a6] |
Generators |
[-3743010361915666028435936168827881913801688844983202659409098:-1348665483179673811537534011851007572051921575926317227410:508078240173088144220449089264364249723571027174227840819] |
Generators of the group modulo torsion |
j |
18440127492397057/1032 |
j-invariant |
L |
7.6171373269799 |
L(r)(E,1)/r! |
Ω |
0.04226348580984 |
Real period |
R |
90.114873160251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11094j3 2064n3 |
Quadratic twists by: -4 -43 |