Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050jd |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
-267996093750 = -1 · 2 · 34 · 59 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10513,414767] |
[a1,a2,a3,a4,a6] |
j |
-543739493/1134 |
j-invariant |
L |
7.8523293814191 |
L(r)(E,1)/r! |
Ω |
0.98154105855308 |
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 |
127050bs1 127050du1 |
Quadratic twists by: 5 -11 |