Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150bk |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21047040 |
Modular degree for the optimal curve |
Δ |
-2.7563478745578E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 6 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5241094,-24833308372] |
[a1,a2,a3,a4,a6] |
Generators |
[49631568:5031226748:4913] |
Generators of the group modulo torsion |
j |
1273109286815/22039921152 |
j-invariant |
L |
8.6063242098919 |
L(r)(E,1)/r! |
Ω |
0.04766215796181 |
Real period |
R |
11.285583398524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150cp1 126150bz1 |
Quadratic twists by: 5 29 |