Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bh |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1051317971661619200 = -1 · 221 · 3 · 52 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,89780,48270160] |
[a1,a2,a3,a4,a6] |
Generators |
[39:7180:1] |
Generators of the group modulo torsion |
j |
1807002849335/23737663488 |
j-invariant |
L |
3.2919863444527 |
L(r)(E,1)/r! |
Ω |
0.20463996568461 |
Real period |
R |
2.6811204959544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999716652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050iv2 11550bn2 |
Quadratic twists by: 5 -11 |