Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150ce |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16912800 |
Modular degree for the optimal curve |
Δ |
-3.8462305259029E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24452513,-55294656469] |
[a1,a2,a3,a4,a6] |
Generators |
[1864674309176051115282737039273:450650830712888615490764568116306:31562549971678941400207387] |
Generators of the group modulo torsion |
j |
-330986425/78732 |
j-invariant |
L |
9.1202138939964 |
L(r)(E,1)/r! |
Ω |
0.033524037993636 |
Real period |
R |
45.341663474071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150br1 126150x1 |
Quadratic twists by: 5 29 |