Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7728f |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-3926071296 = -1 · 211 · 35 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-392,4116] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:84:1] |
Generators of the group modulo torsion |
j |
-3261064466/1917027 |
j-invariant |
L |
4.2235662139884 |
L(r)(E,1)/r! |
Ω |
1.2914937554295 |
Real period |
R |
0.054504924965534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3864b1 30912bp1 23184r1 54096g1 |
Quadratic twists by: -4 8 -3 -7 |