Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
870i |
Isogeny class |
Conductor |
870 |
Conductor |
∏ cp |
500 |
Product of Tamagawa factors cp |
Δ |
63863437500000 = 25 · 35 · 510 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43360,3450272] |
[a1,a2,a3,a4,a6] |
j |
9015548596898711041/63863437500000 |
j-invariant |
L |
3.1218337583442 |
L(r)(E,1)/r! |
Ω |
0.62436675166884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
10 |
Number of elements in the torsion subgroup |
Twists |
6960x2 27840o2 2610e2 4350a2 |
Quadratic twists by: -4 8 -3 5 |