Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150cz |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-69861999051450 = -1 · 2 · 34 · 52 · 297 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4643,419787] |
[a1,a2,a3,a4,a6] |
Generators |
[38:5027:8] |
Generators of the group modulo torsion |
j |
-744385/4698 |
j-invariant |
L |
9.4736161224271 |
L(r)(E,1)/r! |
Ω |
0.53144997644463 |
Real period |
R |
1.1141236752288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150r1 4350c1 |
Quadratic twists by: 5 29 |