Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150bj |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
301442176406250000 = 24 · 32 · 510 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-310126,-61026352] |
[a1,a2,a3,a4,a6] |
Generators |
[657:4021:1] |
Generators of the group modulo torsion |
j |
119168121961/10890000 |
j-invariant |
L |
3.7258980438813 |
L(r)(E,1)/r! |
Ω |
0.20349209174101 |
Real period |
R |
4.5774482094165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54450gg2 3630s2 1650t2 |
Quadratic twists by: -3 5 -11 |