Atkin-Lehner |
3+ 5+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40455b |
Isogeny class |
Conductor |
40455 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-15170625 = -1 · 33 · 54 · 29 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 3 -2 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37,156] |
[a1,a2,a3,a4,a6] |
Generators |
[0:12:1] |
Generators of the group modulo torsion |
j |
212776173/561875 |
j-invariant |
L |
3.5663680500761 |
L(r)(E,1)/r! |
Ω |
1.5509537694118 |
Real period |
R |
0.57486691744384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40455c1 |
Quadratic twists by: -3 |