Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7728d |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-90139392 = -1 · 28 · 37 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -1 -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,-459] |
[a1,a2,a3,a4,a6] |
j |
128000/352107 |
j-invariant |
L |
0.88522825487715 |
L(r)(E,1)/r! |
Ω |
0.88522825487715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3864c1 30912cf1 23184n1 54096n1 |
Quadratic twists by: -4 8 -3 -7 |