Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968h |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-13297521131712 = -1 · 26 · 313 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 6 3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5415,-85196] |
[a1,a2,a3,a4,a6] |
j |
2888000/2187 |
j-invariant |
L |
4.7459944206603 |
L(r)(E,1)/r! |
Ω |
0.39549954284027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968bj1 34656z1 103968bu1 |
Quadratic twists by: -4 -3 -19 |