Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800i |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
9.1549016015625E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159468758,-775053481488] |
[a1,a2,a3,a4,a6] |
j |
448487713888272974160064/91549016015625 |
j-invariant |
L |
2.124225711242 |
L(r)(E,1)/r! |
Ω |
0.042484514224839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16800r1 33600gy2 50400dw1 3360x1 |
Quadratic twists by: -4 8 -3 5 |