Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3480a |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
2706048000 = 210 · 36 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 6 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1280,-17028] |
[a1,a2,a3,a4,a6] |
j |
226669409284/2642625 |
j-invariant |
L |
2.396051270042 |
L(r)(E,1)/r! |
Ω |
0.79868375668066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6960q1 27840br1 10440u1 17400bl1 |
Quadratic twists by: -4 8 -3 5 |