Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
105120w |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
85147200000 = 29 · 36 · 55 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9003,328498] |
[a1,a2,a3,a4,a6] |
j |
216216072008/228125 |
j-invariant |
L |
1.0735045038349 |
L(r)(E,1)/r! |
Ω |
1.0735044222935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105120v1 11680c1 |
Quadratic twists by: -4 -3 |