Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050ck |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-1934253965273437500 = -1 · 22 · 3 · 510 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 2 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-540026,-166804552] |
[a1,a2,a3,a4,a6] |
j |
-472729139/52500 |
j-invariant |
L |
3.1503514435196 |
L(r)(E,1)/r! |
Ω |
0.087509742472511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bp1 127050hq1 |
Quadratic twists by: 5 -11 |