Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6240a |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
219348480 = 29 · 3 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216,-924] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] |
Generators of the group modulo torsion |
j |
2186875592/428415 |
j-invariant |
L |
3.1380764817172 |
L(r)(E,1)/r! |
Ω |
1.2618541843967 |
Real period |
R |
2.4868772640457 |
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 |
6240ba3 12480bh3 18720bj3 31200cb3 |
Quadratic twists by: -4 8 -3 5 |