Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
40200x |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
404010000000000 = 210 · 32 · 510 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42408,-3205188] |
[a1,a2,a3,a4,a6] |
Generators |
[3453814:-135660000:2197] |
Generators of the group modulo torsion |
j |
527178079876/25250625 |
j-invariant |
L |
5.5414310751937 |
L(r)(E,1)/r! |
Ω |
0.33367565498082 |
Real period |
R |
8.3036190870893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80400bc2 120600u2 8040f2 |
Quadratic twists by: -4 -3 5 |