Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800pw |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-91854000000000 = -1 · 210 · 38 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6000,-425000] |
[a1,a2,a3,a4,a6] |
Generators |
[534:12452:1] |
Generators of the group modulo torsion |
j |
16384/63 |
j-invariant |
L |
6.9418948344072 |
L(r)(E,1)/r! |
Ω |
0.30583796558365 |
Real period |
R |
5.6744874933321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999879644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800gz1 25200fs1 33600hm1 100800pa1 |
Quadratic twists by: -4 8 -3 5 |