Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486k |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
31035952601932068 = 22 · 311 · 72 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-297351,61905865] |
[a1,a2,a3,a4,a6] |
Generators |
[-432:10685:1] |
Generators of the group modulo torsion |
j |
84778086457/904932 |
j-invariant |
L |
5.0794971912746 |
L(r)(E,1)/r! |
Ω |
0.37247457374919 |
Real period |
R |
3.4092912303665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162s1 2394l1 |
Quadratic twists by: -3 -19 |