Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
420c |
Isogeny class |
Conductor |
420 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
72 |
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 |
1.7281211109508 |
L(r)(E,1)/r! |
Ω |
3.4562422219016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
1680l1 6720o1 1260j1 2100b1 |
Quadratic twists by: -4 8 -3 5 |