Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800mb |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1377810000000000 = 210 · 39 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64200,-6001000] |
[a1,a2,a3,a4,a6] |
Generators |
[406:5904:1] |
Generators of the group modulo torsion |
j |
2508888064/118125 |
j-invariant |
L |
5.4384677406522 |
L(r)(E,1)/r! |
Ω |
0.30080216372948 |
Real period |
R |
4.5199705935285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800fw1 25200bg1 33600es1 20160eg1 |
Quadratic twists by: -4 8 -3 5 |