Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800x |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-1852200000000 = -1 · 29 · 33 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 3 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7208,242088] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-150:1] |
Generators of the group modulo torsion |
j |
-207108680/9261 |
j-invariant |
L |
6.2466644646679 |
L(r)(E,1)/r! |
Ω |
0.82639459087099 |
Real period |
R |
0.41994093201652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16800bm1 33600bm1 50400eb1 16800bg1 |
Quadratic twists by: -4 8 -3 5 |