Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800bt |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3624960 |
Modular degree for the optimal curve |
Δ |
-5944622581440000000 = -1 · 212 · 34 · 57 · 475 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1761533,908080437] |
[a1,a2,a3,a4,a6] |
Generators |
[-853:42300:1] |
Generators of the group modulo torsion |
j |
-9445312588271104/92884727835 |
j-invariant |
L |
5.568874481556 |
L(r)(E,1)/r! |
Ω |
0.24048221968306 |
Real period |
R |
0.28946394082133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800u1 22560c1 |
Quadratic twists by: -4 5 |