Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fn |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
365783040000000000 = 220 · 36 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-254700,40014000] |
[a1,a2,a3,a4,a6] |
Generators |
[-506:6272:1] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
7.5637136842622 |
L(r)(E,1)/r! |
Ω |
0.28616143209064 |
Real period |
R |
3.3039540056869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007444 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100800mg2 3150bm2 11200p2 20160be2 |
Quadratic twists by: -4 8 -3 5 |