Atkin-Lehner |
2- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42160s |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-131750000 = -1 · 24 · 56 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- 4 -5 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37,559] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:25:1] |
Generators of the group modulo torsion |
j |
-350113536/8234375 |
j-invariant |
L |
4.2125203803423 |
L(r)(E,1)/r! |
Ω |
1.5507115089486 |
Real period |
R |
0.45275135059358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10540d1 |
Quadratic twists by: -4 |