Atkin-Lehner |
2+ 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336n |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6344772058082304 = 210 · 36 · 72 · 113 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-247971,47373230] |
[a1,a2,a3,a4,a6] |
Generators |
[103:4788:1] |
Generators of the group modulo torsion |
j |
2258909892989572/8499405299 |
j-invariant |
L |
5.1128994115732 |
L(r)(E,1)/r! |
Ω |
0.42530099060321 |
Real period |
R |
1.502729687558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11704f2 |
Quadratic twists by: -3 |