Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280k |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
133790862240000 = 28 · 310 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-963900,-363925548] |
[a1,a2,a3,a4,a6] |
Generators |
[137214:50825880:1] |
Generators of the group modulo torsion |
j |
386883437712133521616/522620555625 |
j-invariant |
L |
3.7870603756198 |
L(r)(E,1)/r! |
Ω |
0.15236722474237 |
Real period |
R |
6.2137057067608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560bz2 114240dg2 42840bn2 71400dq2 |
Quadratic twists by: -4 8 -3 5 |