Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fs |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14696640000000000 = 215 · 38 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-612300,-184322000] |
[a1,a2,a3,a4,a6] |
Generators |
[-444:104:1] |
Generators of the group modulo torsion |
j |
68017239368/39375 |
j-invariant |
L |
5.8870890842992 |
L(r)(E,1)/r! |
Ω |
0.17067644171998 |
Real period |
R |
4.3115858818008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800dz4 50400bm4 33600cz4 20160cc3 |
Quadratic twists by: -4 8 -3 5 |