Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fl |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-162114509299050 = -1 · 2 · 313 · 52 · 75 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8588,-688489] |
[a1,a2,a3,a4,a6] |
Generators |
[20967046940353629814:183288287227471480897:128721839754303944] |
Generators of the group modulo torsion |
j |
-23156749680625/53591573322 |
j-invariant |
L |
7.3434472600358 |
L(r)(E,1)/r! |
Ω |
0.23168684991184 |
Real period |
R |
31.695572117408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050el1 127050z1 |
Quadratic twists by: 5 -11 |