Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4680n |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1862373337344000 = 211 · 316 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38523,2039222] |
[a1,a2,a3,a4,a6] |
Generators |
[2974:161838:1] |
Generators of the group modulo torsion |
j |
4234737878642/1247410125 |
j-invariant |
L |
3.6333439247958 |
L(r)(E,1)/r! |
Ω |
0.43550569522903 |
Real period |
R |
4.1714080488488 |
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 |
9360i2 37440cq2 1560b2 23400r2 |
Quadratic twists by: -4 8 -3 5 |