Atkin-Lehner |
2- 5- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
126160m |
Isogeny class |
Conductor |
126160 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
12602304 |
Modular degree for the optimal curve |
Δ |
-9.327362048E+20 |
Discriminant |
Eigenvalues |
2- 3 5- -3 -4 1 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3234787,2678372066] |
[a1,a2,a3,a4,a6] |
Generators |
[45579:1216000:27] |
Generators of the group modulo torsion |
j |
-913904532986079997881/227718800000000000 |
j-invariant |
L |
13.464975098667 |
L(r)(E,1)/r! |
Ω |
0.14959227366793 |
Real period |
R |
0.68190277495873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15770a1 |
Quadratic twists by: -4 |