Atkin-Lehner |
2- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782bs |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
187440 |
Modular degree for the optimal curve |
Δ |
-1602179790848 = -1 · 211 · 72 · 135 · 43 |
Discriminant |
Eigenvalues |
2- -3 -2 7- -4 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2409,39855] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1294:1] |
Generators of the group modulo torsion |
j |
31565090121327/32697546752 |
j-invariant |
L |
4.5682565746543 |
L(r)(E,1)/r! |
Ω |
0.55802779403659 |
Real period |
R |
0.14884421768521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782z1 |
Quadratic twists by: -7 |