Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31800b |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-56882250000000000 = -1 · 210 · 34 · 512 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12008,11490012] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:900:1] |
Generators of the group modulo torsion |
j |
-11968836484/3555140625 |
j-invariant |
L |
5.1811904852051 |
L(r)(E,1)/r! |
Ω |
0.28686175076531 |
Real period |
R |
2.2577036113137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600n2 95400bd2 6360l2 |
Quadratic twists by: -4 -3 5 |