Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050iv |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-2.228260567995E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-251138,-232242108] |
[a1,a2,a3,a4,a6] |
Generators |
[802:8674:1] |
Generators of the group modulo torsion |
j |
-2531307865/32199552 |
j-invariant |
L |
14.519225061157 |
L(r)(E,1)/r! |
Ω |
0.091517774836803 |
Real period |
R |
1.2591209155546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050bh1 11550bi1 |
Quadratic twists by: 5 -11 |