Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800h |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2964077141760000000 = 214 · 39 · 57 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-380700,-36234000] |
[a1,a2,a3,a4,a6] |
Generators |
[-555:2025:1] |
Generators of the group modulo torsion |
j |
1210991472/588245 |
j-invariant |
L |
4.7825178793602 |
L(r)(E,1)/r! |
Ω |
0.20182029531675 |
Real period |
R |
2.9621140620512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800js4 6300b4 100800g2 20160j4 |
Quadratic twists by: -4 8 -3 5 |