Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ek |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-725896442880000000 = -1 · 216 · 310 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36300,41078000] |
[a1,a2,a3,a4,a6] |
Generators |
[40:6300:1] |
Generators of the group modulo torsion |
j |
-7086244/972405 |
j-invariant |
L |
7.7622244328453 |
L(r)(E,1)/r! |
Ω |
0.23361541975252 |
Real period |
R |
1.0383283511149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800kx3 12600r4 33600o3 20160bx4 |
Quadratic twists by: -4 8 -3 5 |