Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
210c |
Isogeny class |
Conductor |
210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
-188160 = -1 · 28 · 3 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10,-13] |
[a1,a2,a3,a4,a6] |
j |
109902239/188160 |
j-invariant |
L |
1.6773824350753 |
L(r)(E,1)/r! |
Ω |
1.6773824350753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1680t1 6720u1 630d1 1050g1 |
Quadratic twists by: -4 8 -3 5 |