Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126fh |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
273871297399023324 = 22 · 37 · 77 · 113 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-262964561,1641388337061] |
[a1,a2,a3,a4,a6] |
Generators |
[16503:1331918:1] |
Generators of the group modulo torsion |
j |
23447665694255643433657/3193234044 |
j-invariant |
L |
8.8248685853224 |
L(r)(E,1)/r! |
Ω |
0.17676659229755 |
Real period |
R |
6.2404810920409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999658055 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42042x4 18018z3 |
Quadratic twists by: -3 -7 |