Atkin-Lehner |
2- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
68432y |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-2418660608 = -1 · 28 · 7 · 13 · 473 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -2 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-644,6940] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:94:1] |
Generators of the group modulo torsion |
j |
-115562131792/9447893 |
j-invariant |
L |
3.2974421964055 |
L(r)(E,1)/r! |
Ω |
1.4215049520084 |
Real period |
R |
0.7732279774032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17108c1 |
Quadratic twists by: -4 |