Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712cv |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
680643330048 = 216 · 33 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5868,168400] |
[a1,a2,a3,a4,a6] |
j |
12628458252/384659 |
j-invariant |
L |
3.6099090122529 |
L(r)(E,1)/r! |
Ω |
0.90247720031329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712o1 26928e1 107712de1 |
Quadratic twists by: -4 8 -3 |