Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3480q |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-1101093750000 = -1 · 24 · 35 · 510 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 3 -1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1820,-41303] |
[a1,a2,a3,a4,a6] |
Generators |
[24:125:1] |
Generators of the group modulo torsion |
j |
41646570900224/68818359375 |
j-invariant |
L |
2.9691053710944 |
L(r)(E,1)/r! |
Ω |
0.45868133328461 |
Real period |
R |
0.32365666047849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6960r1 27840bt1 10440g1 17400k1 |
Quadratic twists by: -4 8 -3 5 |