Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576bq |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-74659058850816 = -1 · 210 · 39 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1472017,686922071] |
[a1,a2,a3,a4,a6] |
Generators |
[698:-99:1] |
Generators of the group modulo torsion |
j |
-344478821986234930432/72909237159 |
j-invariant |
L |
4.5791247015201 |
L(r)(E,1)/r! |
Ω |
0.48593735160574 |
Real period |
R |
0.20940626680379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576cj1 6072b1 |
Quadratic twists by: -4 8 |