Atkin-Lehner |
2- 3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648q |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
181268243546112 = 218 · 39 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-317331,-68801454] |
[a1,a2,a3,a4,a6] |
Generators |
[1119899:21456064:1331] |
Generators of the group modulo torsion |
j |
43833885878979/2248384 |
j-invariant |
L |
7.5887514300855 |
L(r)(E,1)/r! |
Ω |
0.20115126412942 |
Real period |
R |
9.4316477012418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706b1 117648p1 |
Quadratic twists by: -4 -3 |