Atkin-Lehner |
2+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
20200c |
Isogeny class |
Conductor |
20200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
631250000 = 24 · 58 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-883,9738] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:91:1] [-7:125:1] |
Generators of the group modulo torsion |
j |
304900096/2525 |
j-invariant |
L |
5.240614263143 |
L(r)(E,1)/r! |
Ω |
1.6308611650358 |
Real period |
R |
1.6067015315272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40400f1 4040d1 |
Quadratic twists by: -4 5 |