Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640q |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-20782219316428800 = -1 · 231 · 38 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 5 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46145,7931457] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3240:1] |
Generators of the group modulo torsion |
j |
-41454067728529/79277875200 |
j-invariant |
L |
5.9072612657209 |
L(r)(E,1)/r! |
Ω |
0.34196468190981 |
Real period |
R |
2.1593097102648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640cx1 1770g1 |
Quadratic twists by: -4 8 |