Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fc |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-3623686466096188800 = -1 · 27 · 34 · 52 · 72 · 1111 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3800068,-2854303099] |
[a1,a2,a3,a4,a6] |
Generators |
[2899:101037:1] |
Generators of the group modulo torsion |
j |
-137025597360350785/81819061632 |
j-invariant |
L |
8.1014015048907 |
L(r)(E,1)/r! |
Ω |
0.054063749606704 |
Real period |
R |
1.3379379252749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000141922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050ek1 11550h1 |
Quadratic twists by: 5 -11 |