Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280w |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-18206775000000 = -1 · 26 · 39 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4293,232092] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:540:1] [24:378:1] |
Generators of the group modulo torsion |
j |
-6946005312/14453125 |
j-invariant |
L |
9.0191450602053 |
L(r)(E,1)/r! |
Ω |
0.6132376230489 |
Real period |
R |
7.3537114498633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53280a1 106560s2 53280f1 |
Quadratic twists by: -4 8 -3 |