Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7728k |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-23930339328 = -1 · 218 · 34 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-7440] |
[a1,a2,a3,a4,a6] |
Generators |
[29:126:1] |
Generators of the group modulo torsion |
j |
-15625/5842368 |
j-invariant |
L |
3.6790353015402 |
L(r)(E,1)/r! |
Ω |
0.54840578321103 |
Real period |
R |
1.6771501204814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
966e1 30912cg1 23184bw1 54096cn1 |
Quadratic twists by: -4 8 -3 -7 |