Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4704l |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30359089152 = 212 · 32 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,-24529] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:36:1] |
Generators of the group modulo torsion |
j |
1000000/63 |
j-invariant |
L |
4.4330372244793 |
L(r)(E,1)/r! |
Ω |
0.75394935768573 |
Real period |
R |
1.4699386567841 |
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 |
4704s2 9408g1 14112bu2 117600ev2 |
Quadratic twists by: -4 8 -3 5 |