Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36192a |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-3895996416 = -1 · 212 · 3 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 -6 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125,3093] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:4:1] |
Generators of the group modulo torsion |
j |
-53157376/951171 |
j-invariant |
L |
5.3787258690648 |
L(r)(E,1)/r! |
Ω |
1.1751679255389 |
Real period |
R |
2.2884924580456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36192ba1 72384bl1 108576bl1 |
Quadratic twists by: -4 8 -3 |