Atkin-Lehner |
3- 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
46431i |
Isogeny class |
Conductor |
46431 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
163584 |
Modular degree for the optimal curve |
Δ |
-40581797989887 = -1 · 36 · 7 · 116 · 672 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 11- 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-267530,53328368] |
[a1,a2,a3,a4,a6] |
Generators |
[294:1:1] |
Generators of the group modulo torsion |
j |
-2904772541375265625/55667761303 |
j-invariant |
L |
3.3454757846066 |
L(r)(E,1)/r! |
Ω |
0.59370312920466 |
Real period |
R |
0.93915505916404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5159b1 |
Quadratic twists by: -3 |