Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75712bo |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-232789970236096 = -1 · 26 · 73 · 139 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 2 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4394,742586] |
[a1,a2,a3,a4,a6] |
Generators |
[169:2197:1] |
Generators of the group modulo torsion |
j |
-13824/343 |
j-invariant |
L |
4.448993383254 |
L(r)(E,1)/r! |
Ω |
0.46722969094284 |
Real period |
R |
1.5870115100701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712u1 37856h1 75712t1 |
Quadratic twists by: -4 8 13 |