Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270ci |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
76605952500 = 22 · 34 · 54 · 7 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8070426,-8825227344] |
[a1,a2,a3,a4,a6] |
j |
58131709498723435476658849/76605952500 |
j-invariant |
L |
4.2994873633448 |
L(r)(E,1)/r! |
Ω |
0.089572653403014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bn4 |
Quadratic twists by: -3 |