Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050j |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
84600000000 = 29 · 32 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3208526,-2212375552] |
[a1,a2,a3,a4,a6] |
Generators |
[9563019336:-705673888037:1601613] |
Generators of the group modulo torsion |
j |
233786904295505523409/5414400 |
j-invariant |
L |
3.6017277799094 |
L(r)(E,1)/r! |
Ω |
0.11280365721504 |
Real period |
R |
15.964587801632 |
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 |
56400bh2 21150by2 1410g2 |
Quadratic twists by: -4 -3 5 |