Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1680l |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
75600 = 24 · 33 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61,-164] |
[a1,a2,a3,a4,a6] |
j |
1594753024/4725 |
j-invariant |
L |
0.85314483698831 |
L(r)(E,1)/r! |
Ω |
1.7062896739766 |
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 |
420c1 6720cj1 5040bl1 8400ck1 |
Quadratic twists by: -4 8 -3 5 |