Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280m |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-5581940630561280 = -1 · 29 · 316 · 5 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37803,4574338] |
[a1,a2,a3,a4,a6] |
j |
-16006818542408/14955044985 |
j-invariant |
L |
0.78107195932506 |
L(r)(E,1)/r! |
Ω |
0.39053597992027 |
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 |
53280bm1 106560dj1 17760y1 |
Quadratic twists by: -4 8 -3 |