Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gx |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-38672290849500 = -1 · 22 · 34 · 53 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8407,42131] |
[a1,a2,a3,a4,a6] |
Generators |
[219:3418:1] |
Generators of the group modulo torsion |
j |
296740963/174636 |
j-invariant |
L |
10.03286762609 |
L(r)(E,1)/r! |
Ω |
0.39341417047516 |
Real period |
R |
3.1877562003803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999363022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050dv1 11550m1 |
Quadratic twists by: 5 -11 |