Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400ds |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-2083730227200 = -1 · 227 · 33 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,-74497] |
[a1,a2,a3,a4,a6] |
Generators |
[659:16896:1] |
Generators of the group modulo torsion |
j |
-73530625/317952 |
j-invariant |
L |
8.8624588155556 |
L(r)(E,1)/r! |
Ω |
0.34138601112659 |
Real period |
R |
2.1633523659354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400fm1 3450e1 110400bu1 |
Quadratic twists by: -4 8 5 |