Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cw |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-49628906250 = -1 · 2 · 3 · 510 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,349,10448] |
[a1,a2,a3,a4,a6] |
Generators |
[46:873:8] |
Generators of the group modulo torsion |
j |
2496791/26250 |
j-invariant |
L |
5.5892493119877 |
L(r)(E,1)/r! |
Ω |
0.82987931448793 |
Real period |
R |
3.3675072528153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000162792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410bu1 127050ib1 |
Quadratic twists by: 5 -11 |