Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800co |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
864162432000000000 = 216 · 39 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1579500,762750000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1250:28000:1] |
Generators of the group modulo torsion |
j |
172974204/343 |
j-invariant |
L |
7.3428511659531 |
L(r)(E,1)/r! |
Ω |
0.28144134421882 |
Real period |
R |
2.1741804284781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800kh1 12600j1 100800ck1 100800bu1 |
Quadratic twists by: -4 8 -3 5 |