Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dj |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2579684108203125 = 36 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113190230,463540877272] |
[a1,a2,a3,a4,a6] |
Generators |
[6155:-1412:1] |
Generators of the group modulo torsion |
j |
119678115308998401/1925 |
j-invariant |
L |
2.7560752561637 |
L(r)(E,1)/r! |
Ω |
0.23397004788238 |
Real period |
R |
2.944901799223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13475h3 24255bn4 17325z3 |
Quadratic twists by: -3 5 -7 |