Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ht |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
10886400 |
Modular degree for the optimal curve |
Δ |
-2.2280571763317E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6915213,-10028837103] |
[a1,a2,a3,a4,a6] |
Generators |
[8018:666815:1] |
Generators of the group modulo torsion |
j |
-825741822267180625/503072076283392 |
j-invariant |
L |
15.002001383742 |
L(r)(E,1)/r! |
Ω |
0.045292238614449 |
Real period |
R |
3.6802973155142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050br1 11550v1 |
Quadratic twists by: 5 -11 |