Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ei |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
6842880 |
Modular degree for the optimal curve |
Δ |
-1.2921379180089E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2436701,2265731048] |
[a1,a2,a3,a4,a6] |
Generators |
[927:-28814:1] |
Generators of the group modulo torsion |
j |
-19108590985/15431472 |
j-invariant |
L |
6.110473896099 |
L(r)(E,1)/r! |
Ω |
0.14019285029884 |
Real period |
R |
1.2107278216118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103389 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127050ez1 127050in1 |
Quadratic twists by: 5 -11 |