Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cu |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-3125906437500000 = -1 · 25 · 310 · 59 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32376,-3504602] |
[a1,a2,a3,a4,a6] |
Generators |
[242:1566:1] |
Generators of the group modulo torsion |
j |
-1985037003961/1653372000 |
j-invariant |
L |
5.1966272768644 |
L(r)(E,1)/r! |
Ω |
0.17189192903964 |
Real period |
R |
0.75579861095296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410ce1 127050hw1 |
Quadratic twists by: 5 -11 |