Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162d |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1748736 |
Modular degree for the optimal curve |
Δ |
-1.548766081075E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 5 11+ 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,536310,113874932] |
[a1,a2,a3,a4,a6] |
j |
267961876623/243269632 |
j-invariant |
L |
2.3090483815052 |
L(r)(E,1)/r! |
Ω |
0.14431552400995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162bf1 63162bh1 |
Quadratic twists by: -3 -11 |