Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050hx |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
1560 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-948818344320000000 = -1 · 213 · 36 · 57 · 75 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1080813,434929617] |
[a1,a2,a3,a4,a6] |
Generators |
[-558:-29121:1] |
Generators of the group modulo torsion |
j |
-73853319448242961/501854330880 |
j-invariant |
L |
14.447738510568 |
L(r)(E,1)/r! |
Ω |
0.28042076063801 |
Real period |
R |
0.033026694493232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410l1 127050cq1 |
Quadratic twists by: 5 -11 |