Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968v |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2669086710706176 = -1 · 212 · 36 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 3 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25992,-2963088] |
[a1,a2,a3,a4,a6] |
Generators |
[2356:114076:1] |
Generators of the group modulo torsion |
j |
-13824/19 |
j-invariant |
L |
8.8434724823916 |
L(r)(E,1)/r! |
Ω |
0.17898569859254 |
Real period |
R |
3.0880513523703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968by1 11552t1 5472s1 |
Quadratic twists by: -4 -3 -19 |