Atkin-Lehner |
2+ 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560h |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-8980368750000 = -1 · 24 · 39 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4038,-105041] |
[a1,a2,a3,a4,a6] |
j |
624273852416/769921875 |
j-invariant |
L |
1.5673892360647 |
L(r)(E,1)/r! |
Ω |
0.39184730904695 |
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 |
26280f1 17520g1 |
Quadratic twists by: -4 -3 |