Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fj |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1026432 |
Modular degree for the optimal curve |
Δ |
-25410273240844800 = -1 · 29 · 33 · 52 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,62252,4830101] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:277:1] |
Generators of the group modulo torsion |
j |
4978536695/4741632 |
j-invariant |
L |
9.0460319370494 |
L(r)(E,1)/r! |
Ω |
0.24739005495351 |
Real period |
R |
1.354291395682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999131402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050en1 127050bb1 |
Quadratic twists by: 5 -11 |