Atkin-Lehner |
2+ 3- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270l |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
-1195307988173714160 = -1 · 24 · 315 · 5 · 234 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-368775,101071341] |
[a1,a2,a3,a4,a6] |
Generators |
[-645:8706:1] |
Generators of the group modulo torsion |
j |
-7608188450544620401/1639654304765040 |
j-invariant |
L |
4.2946683164626 |
L(r)(E,1)/r! |
Ω |
0.26167794168036 |
Real period |
R |
1.0257523820956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999164886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42090u1 |
Quadratic twists by: -3 |