Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800cs |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
24772608000 = 220 · 33 · 53 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-780,-3600] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:36:1] |
Generators of the group modulo torsion |
j |
59319/28 |
j-invariant |
L |
8.5575671405171 |
L(r)(E,1)/r! |
Ω |
0.94601601100432 |
Real period |
R |
2.2614752393012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800kk1 3150j1 100800ct1 100800cc1 |
Quadratic twists by: -4 8 -3 5 |