Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830k |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-41992020 = -1 · 22 · 34 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,76,182] |
[a1,a2,a3,a4,a6] |
Generators |
[3:19:1] |
Generators of the group modulo torsion |
j |
49471280711/41992020 |
j-invariant |
L |
3.2264299572046 |
L(r)(E,1)/r! |
Ω |
1.3189385135501 |
Real period |
R |
0.30577903405446 |
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 |
38640bk2 14490cb2 24150bq2 33810q2 |
Quadratic twists by: -4 -3 5 -7 |