Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53280t |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
93184 |
Modular degree for the optimal curve |
Δ |
-9710280000000 = -1 · 29 · 38 · 57 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 1 6 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7707,-300494] |
[a1,a2,a3,a4,a6] |
j |
-135638288072/26015625 |
j-invariant |
L |
3.5301553835911 |
L(r)(E,1)/r! |
Ω |
0.25215395595505 |
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 |
53280bz1 106560bd1 17760x1 |
Quadratic twists by: -4 8 -3 |