Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bm |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
56840000000000 = 212 · 510 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60408,5723312] |
[a1,a2,a3,a4,a6] |
Generators |
[452:8400:1] |
Generators of the group modulo torsion |
j |
380920459249/888125 |
j-invariant |
L |
10.431460027457 |
L(r)(E,1)/r! |
Ω |
0.62857086615696 |
Real period |
R |
2.074439928682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5075a2 16240k2 |
Quadratic twists by: -4 5 |