Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728ew |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-486930382848 = -1 · 220 · 36 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 13- -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315,33642] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:90:1] |
Generators of the group modulo torsion |
j |
-23625/3328 |
j-invariant |
L |
6.940508910752 |
L(r)(E,1)/r! |
Ω |
0.76355132402276 |
Real period |
R |
2.272443475972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466cf1 10192bc1 91728de1 |
Quadratic twists by: -4 -3 -7 |