Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
36792d |
Isogeny class |
Conductor |
36792 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
-3944039947566768 = -1 · 24 · 311 · 72 · 734 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19734,-2826871] |
[a1,a2,a3,a4,a6] |
Generators |
[4204:272727:1] |
Generators of the group modulo torsion |
j |
72865436813312/338137855587 |
j-invariant |
L |
4.0632169082737 |
L(r)(E,1)/r! |
Ω |
0.2221483213294 |
Real period |
R |
4.5726396715011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73584k1 12264f1 |
Quadratic twists by: -4 -3 |