Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616do |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1147690669289472 = 212 · 39 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117747,-15465870] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:118:1] |
Generators of the group modulo torsion |
j |
19034163/121 |
j-invariant |
L |
4.227124606218 |
L(r)(E,1)/r! |
Ω |
0.25782700928575 |
Real period |
R |
4.0987992492991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4851f2 77616eb2 1584i2 |
Quadratic twists by: -4 -3 -7 |