Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510x |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
169848845160881040 = 24 · 314 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-220950,-34655580] |
[a1,a2,a3,a4,a6] |
j |
13908844989649/1980372240 |
j-invariant |
L |
1.7783394212952 |
L(r)(E,1)/r! |
Ω |
0.22229242764524 |
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 |
16170cf1 6930m1 |
Quadratic twists by: -3 -7 |