Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bx |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
127488 |
Modular degree for the optimal curve |
Δ |
-11046854115 = -1 · 38 · 5 · 114 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- -5 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1112,15414] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-57:1] |
Generators of the group modulo torsion |
j |
-14235529/1035 |
j-invariant |
L |
3.5057814280138 |
L(r)(E,1)/r! |
Ω |
1.2554946577894 |
Real period |
R |
0.46539180464407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996604357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745e1 125235bs1 |
Quadratic twists by: -3 -11 |