Atkin-Lehner |
7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
4697a |
Isogeny class |
Conductor |
4697 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1128 |
Modular degree for the optimal curve |
Δ |
-192252907 = -1 · 7 · 112 · 613 |
Discriminant |
Eigenvalues |
0 0 2 7+ 11+ 2 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,106,518] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] |
Generators of the group modulo torsion |
j |
131716841472/192252907 |
j-invariant |
L |
3.24728405952 |
L(r)(E,1)/r! |
Ω |
1.214678851153 |
Real period |
R |
1.3366842011111 |
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 |
75152n1 42273a1 117425e1 32879b1 |
Quadratic twists by: -4 -3 5 -7 |