Atkin-Lehner |
2- 3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932u |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-47738061068544 = -1 · 28 · 313 · 73 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ 2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12423,628126] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-486:1] |
Generators of the group modulo torsion |
j |
-1136150003536/255798081 |
j-invariant |
L |
4.9927635757131 |
L(r)(E,1)/r! |
Ω |
0.60781560603267 |
Real period |
R |
0.68452278559161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644n1 |
Quadratic twists by: -3 |