Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830bf |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
Δ |
10434761366400 = 27 · 310 · 52 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14461,649841] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1175:1] |
Generators of the group modulo torsion |
j |
334441811780708689/10434761366400 |
j-invariant |
L |
6.0182888125467 |
L(r)(E,1)/r! |
Ω |
0.7186179459303 |
Real period |
R |
0.059820071953291 |
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 |
38640bh2 14490x2 24150c2 33810cr2 |
Quadratic twists by: -4 -3 5 -7 |