Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
870b |
Isogeny class |
Conductor |
870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1291776000000 = 215 · 3 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-524364,-146193014] |
[a1,a2,a3,a4,a6] |
Generators |
[-143457230:71990549:343000] |
Generators of the group modulo torsion |
j |
15944875212653044225849/1291776000000 |
j-invariant |
L |
1.9885607214778 |
L(r)(E,1)/r! |
Ω |
0.17741545079431 |
Real period |
R |
11.208497977909 |
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 |
6960w4 27840w4 2610m4 4350s4 |
Quadratic twists by: -4 8 -3 5 |