Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
126420t |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
368863653632216400 = 24 · 312 · 52 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181365,-5413050] |
[a1,a2,a3,a4,a6] |
Generators |
[530:6860:1] |
Generators of the group modulo torsion |
j |
350492173533184/195955582725 |
j-invariant |
L |
7.0793267210727 |
L(r)(E,1)/r! |
Ω |
0.24847806608411 |
Real period |
R |
2.3742292545607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060k1 |
Quadratic twists by: -7 |