Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gr |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
856800 |
Modular degree for the optimal curve |
Δ |
-305047050000000 = -1 · 27 · 3 · 58 · 75 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -7 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1862,-838969] |
[a1,a2,a3,a4,a6] |
j |
15104375/6453888 |
j-invariant |
L |
1.7876157369749 |
L(r)(E,1)/r! |
Ω |
0.2553734015426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050dr1 127050cg1 |
Quadratic twists by: 5 -11 |