Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150f |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1648451250000000 = -1 · 27 · 39 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 3 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-569827617,-5235420115459] |
[a1,a2,a3,a4,a6] |
Generators |
[35530746554209658762840653299044874582846395185804518829416352355147909218874881226735957913325:-2542202104910817719016781169995193140007080190586262184447323390668868747527896760029976668491721:1187092679960198675566917039385618956881995580490835264536395358726441973662167161192821649] |
Generators of the group modulo torsion |
j |
-106454214048830427675/8576 |
j-invariant |
L |
4.5518382597846 |
L(r)(E,1)/r! |
Ω |
0.015450185054321 |
Real period |
R |
147.30691715927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30150bs1 30150cc2 |
Quadratic twists by: -3 5 |