Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275r |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648000 |
Modular degree for the optimal curve |
Δ |
-6.532546159472E+25 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,92938683,-179711559784] |
[a1,a2,a3,a4,a6] |
j |
2453656100384133/1805439453125 |
j-invariant |
L |
2.2245912938914 |
L(r)(E,1)/r! |
Ω |
0.034759239438056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275bf1 24255g1 17325a1 |
Quadratic twists by: -3 5 -7 |