Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040bb |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
152266321428480 = 226 · 33 · 5 · 75 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81987,-9016254] |
[a1,a2,a3,a4,a6] |
j |
551105805571803/1376829440 |
j-invariant |
L |
2.8218148133062 |
L(r)(E,1)/r! |
Ω |
0.28218148133062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
630b1 20160db1 5040x1 25200cq1 |
Quadratic twists by: -4 8 -3 5 |