Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728bp |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
5406720 |
Modular degree for the optimal curve |
Δ |
-5.8998768938861E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 5 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10802379,-13715431702] |
[a1,a2,a3,a4,a6] |
j |
-3811170500576969572/16129443546333 |
j-invariant |
L |
1.8316073370119 |
L(r)(E,1)/r! |
Ω |
0.041627441649403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45864bt1 30576l1 91728o1 |
Quadratic twists by: -4 -3 -7 |