Atkin-Lehner |
2+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
6230d |
Isogeny class |
Conductor |
6230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3803664200 = 23 · 52 · 74 · 892 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 0 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1158,14768] |
[a1,a2,a3,a4,a6] |
Generators |
[34:105:1] |
Generators of the group modulo torsion |
j |
171518180523481/3803664200 |
j-invariant |
L |
1.971977437298 |
L(r)(E,1)/r! |
Ω |
1.3957156840686 |
Real period |
R |
0.70643952052959 |
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 |
49840v2 56070t2 31150x2 43610f2 |
Quadratic twists by: -4 -3 5 -7 |