Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
40200x |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-67837500000000000 = -1 · 211 · 34 · 514 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24592,-12451188] |
[a1,a2,a3,a4,a6] |
Generators |
[10105051447:-157330820556:33698267] |
Generators of the group modulo torsion |
j |
51396982702/2119921875 |
j-invariant |
L |
5.5414310751937 |
L(r)(E,1)/r! |
Ω |
0.16683782749041 |
Real period |
R |
16.607238174179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400bc3 120600u3 8040f4 |
Quadratic twists by: -4 -3 5 |