Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400a |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
36064000000 = 211 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24475,-1473750] |
[a1,a2,a3,a4,a6] |
Generators |
[225:2100:1] |
Generators of the group modulo torsion |
j |
50668941906/1127 |
j-invariant |
L |
5.9795142107367 |
L(r)(E,1)/r! |
Ω |
0.38169762628673 |
Real period |
R |
1.9581973395848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32200w2 2576h2 |
Quadratic twists by: -4 5 |