Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
210a |
Isogeny class |
Conductor |
210 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
3870720 = 212 · 33 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41,-39] |
[a1,a2,a3,a4,a6] |
j |
7633736209/3870720 |
j-invariant |
L |
1.9904248603555 |
L(r)(E,1)/r! |
Ω |
1.9904248603555 |
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 |
1680k1 6720l1 630f1 1050a1 |
Quadratic twists by: -4 8 -3 5 |