Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400i |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-75451500000000 = -1 · 28 · 38 · 59 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3300,-411500] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-2250:1] |
Generators of the group modulo torsion |
j |
1362944/25875 |
j-invariant |
L |
5.8972898195573 |
L(r)(E,1)/r! |
Ω |
0.29803269547155 |
Real period |
R |
0.61835600476487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800m1 13800t1 8280s1 |
Quadratic twists by: -4 -3 5 |