Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968i |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-15055317227577024 = -1 · 26 · 36 · 199 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61731,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
1.8820075823703 |
L(r)(E,1)/r! |
Ω |
0.23525095222789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968i1 11552n1 103968bk1 |
Quadratic twists by: -4 -3 -19 |