Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050v |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1166400 |
Modular degree for the optimal curve |
Δ |
-26158205390625000 = -1 · 23 · 33 · 510 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,74050,661500] |
[a1,a2,a3,a4,a6] |
Generators |
[6406709:147785467:24389] |
Generators of the group modulo torsion |
j |
2595575/1512 |
j-invariant |
L |
4.7465088348179 |
L(r)(E,1)/r! |
Ω |
0.22709238577513 |
Real period |
R |
10.450612194081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998375415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050io1 1050l1 |
Quadratic twists by: 5 -11 |