Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544ep |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
636755116032 = 220 · 36 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10380,-405232] |
[a1,a2,a3,a4,a6] |
Generators |
[4546:306432:1] |
Generators of the group modulo torsion |
j |
647214625/3332 |
j-invariant |
L |
7.4514309005163 |
L(r)(E,1)/r! |
Ω |
0.47313470594447 |
Real period |
R |
3.9372671283238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544bi1 17136bm1 7616k1 |
Quadratic twists by: -4 8 -3 |