Atkin-Lehner |
2+ 3- 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410m |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-4.5779749761643E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31159449,-74434478495] |
[a1,a2,a3,a4,a6] |
j |
-4589501325834049209529489/627980106469726562500 |
j-invariant |
L |
1.7756959479289 |
L(r)(E,1)/r! |
Ω |
0.031708856292624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490h2 |
Quadratic twists by: -3 |