Atkin-Lehner |
2- 3- 7- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882bp |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
366041374272 = 26 · 37 · 72 · 19 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1796,3687] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:129:1] |
Generators of the group modulo torsion |
j |
878392183033/502114368 |
j-invariant |
L |
8.2844709242324 |
L(r)(E,1)/r! |
Ω |
0.81808014318475 |
Real period |
R |
0.84389357864696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999618637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294e1 |
Quadratic twists by: -3 |