Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600h |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1738618750000 = -1 · 24 · 58 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2950,14875] |
[a1,a2,a3,a4,a6] |
Generators |
[15:250:1] [146370:19798625:8] |
Generators of the group modulo torsion |
j |
11356637184/6954475 |
j-invariant |
L |
10.594751844855 |
L(r)(E,1)/r! |
Ω |
0.51686817793814 |
Real period |
R |
10.248988327163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41800t1 16720m1 |
Quadratic twists by: -4 5 |