Atkin-Lehner |
2- 3- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670bl |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
523445088304800000 = 28 · 39 · 55 · 294 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-783923,-264678253] |
[a1,a2,a3,a4,a6] |
Generators |
[-525:1666:1] |
Generators of the group modulo torsion |
j |
73082918878923369961/718031671200000 |
j-invariant |
L |
6.7356961363507 |
L(r)(E,1)/r! |
Ω |
0.16054207328485 |
Real period |
R |
2.6222472420952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890u1 |
Quadratic twists by: -3 |