Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728s |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
11363667968016 = 24 · 36 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 5 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7203,-170471] |
[a1,a2,a3,a4,a6] |
Generators |
[-1752:4157:27] |
Generators of the group modulo torsion |
j |
614656/169 |
j-invariant |
L |
6.991896752794 |
L(r)(E,1)/r! |
Ω |
0.52895052399937 |
Real period |
R |
6.6092162007766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45864g1 10192c1 91728u1 |
Quadratic twists by: -4 -3 -7 |