Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912da |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-6587922345984 = -1 · 212 · 32 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2728,-109740] |
[a1,a2,a3,a4,a6] |
Generators |
[471:10290:1] |
Generators of the group modulo torsion |
j |
4657463/13671 |
j-invariant |
L |
10.159589134007 |
L(r)(E,1)/r! |
Ω |
0.38481629177246 |
Real period |
R |
3.3001426103483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4557c1 10416ba1 |
Quadratic twists by: -4 -7 |