Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ct |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40642560 |
Modular degree for the optimal curve |
Δ |
-1.1826981702138E+25 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1299715430,-18035615900928] |
[a1,a2,a3,a4,a6] |
Generators |
[7159998132081500:1191096932660332872:126732947167] |
Generators of the group modulo torsion |
j |
-5916387959190625/288178803 |
j-invariant |
L |
4.612484520821 |
L(r)(E,1)/r! |
Ω |
0.012572053519145 |
Real period |
R |
22.930246209364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425d1 121275fd1 121275em1 |
Quadratic twists by: -3 5 -7 |