Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400o |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-48960981360000000 = -1 · 210 · 37 · 57 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32325,-10408250] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3312:1] |
Generators of the group modulo torsion |
j |
320251964/4197615 |
j-invariant |
L |
3.4804010708901 |
L(r)(E,1)/r! |
Ω |
0.17509842971679 |
Real period |
R |
1.2423016430372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800z3 13800w4 8280v4 |
Quadratic twists by: -4 -3 5 |