Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bf |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
402533193351168 = 228 · 36 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18540,111024] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:576:1] |
Generators of the group modulo torsion |
j |
3687953625/2106368 |
j-invariant |
L |
5.8087262100087 |
L(r)(E,1)/r! |
Ω |
0.4566277777115 |
Real period |
R |
3.1802304195895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ev1 3366p1 11968d1 |
Quadratic twists by: -4 8 -3 |