Atkin-Lehner |
2- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6956b |
Isogeny class |
Conductor |
6956 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1572 |
Modular degree for the optimal curve |
Δ |
1307728 = 24 · 37 · 472 |
Discriminant |
Eigenvalues |
2- 0 4 4 -4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,-15] |
[a1,a2,a3,a4,a6] |
j |
151732224/81733 |
j-invariant |
L |
3.3149268920667 |
L(r)(E,1)/r! |
Ω |
2.2099512613778 |
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 |
27824c1 111296c1 62604d1 |
Quadratic twists by: -4 8 -3 |