Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fv |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4451328 |
Modular degree for the optimal curve |
Δ |
-1.1022421187856E+19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1165285,510225661] |
[a1,a2,a3,a4,a6] |
Generators |
[166980:7896559:64] |
Generators of the group modulo torsion |
j |
-37811178496/2381643 |
j-invariant |
L |
4.2420264235327 |
L(r)(E,1)/r! |
Ω |
0.22392042926711 |
Real period |
R |
9.4721737277687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488ep1 25872ba1 103488ha1 |
Quadratic twists by: -4 8 -7 |