Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200cp |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38831616000 = 212 · 33 · 53 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1073,10017] |
[a1,a2,a3,a4,a6] |
Generators |
[37:140:1] |
Generators of the group modulo torsion |
j |
267089984/75843 |
j-invariant |
L |
7.5130748330633 |
L(r)(E,1)/r! |
Ω |
1.0715782136307 |
Real period |
R |
1.7528059637673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000131881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200ds2 127200bs2 |
Quadratic twists by: -4 5 |