Atkin-Lehner |
2+ 3- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990z |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1261568 |
Modular degree for the optimal curve |
Δ |
3937393988075520000 = 228 · 38 · 54 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3821769,-2873167475] |
[a1,a2,a3,a4,a6] |
j |
8468169606734482462609/5401089146880000 |
j-invariant |
L |
1.7277068304267 |
L(r)(E,1)/r! |
Ω |
0.10798167690697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330q1 |
Quadratic twists by: -3 |