Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800jv |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3024568512000000 = -1 · 212 · 39 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40500,4104000] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:2457:1] |
Generators of the group modulo torsion |
j |
-5832000/2401 |
j-invariant |
L |
8.3545905026597 |
L(r)(E,1)/r! |
Ω |
0.4222656443717 |
Real period |
R |
2.4731441638987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800jg2 50400cn1 100800jx2 4032r2 |
Quadratic twists by: -4 8 -3 5 |