Atkin-Lehner |
2+ 3+ 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270h |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
41324105079180 = 22 · 34 · 5 · 7 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15438,-676872] |
[a1,a2,a3,a4,a6] |
Generators |
[183:1542:1] |
Generators of the group modulo torsion |
j |
406949741244540649/41324105079180 |
j-invariant |
L |
2.89973995744 |
L(r)(E,1)/r! |
Ω |
0.43110480211508 |
Real period |
R |
0.840787420835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810en3 |
Quadratic twists by: -3 |