Atkin-Lehner |
2+ 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410h |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.3327288204659E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21537540,-21190160534] |
[a1,a2,a3,a4,a6] |
j |
1515599535780157194469439/1143035503493258120850 |
j-invariant |
L |
0.79749360204087 |
L(r)(E,1)/r! |
Ω |
0.049843350299401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28470p5 |
Quadratic twists by: -3 |