Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050dx |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2799360 |
Modular degree for the optimal curve |
Δ |
-57750621001920000 = -1 · 29 · 33 · 54 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1166201,-484974052] |
[a1,a2,a3,a4,a6] |
j |
-158419003440625/52157952 |
j-invariant |
L |
2.6149892811341 |
L(r)(E,1)/r! |
Ω |
0.072638634886607 |
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 |
127050gc1 11550cr1 |
Quadratic twists by: 5 -11 |