Atkin-Lehner |
2+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
48074c |
Isogeny class |
Conductor |
48074 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288288 |
Modular degree for the optimal curve |
Δ |
-1809224675528192 = -1 · 29 · 13 · 437 |
Discriminant |
Eigenvalues |
2+ -1 0 1 3 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-144260,-21248816] |
[a1,a2,a3,a4,a6] |
Generators |
[2266632:149125669:512] |
Generators of the group modulo torsion |
j |
-52523718625/286208 |
j-invariant |
L |
3.8699186097991 |
L(r)(E,1)/r! |
Ω |
0.1224450353575 |
Real period |
R |
7.901338340316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1118a1 |
Quadratic twists by: -43 |