Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ec |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
26885053440000000 = 216 · 37 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-302700,63614000] |
[a1,a2,a3,a4,a6] |
Generators |
[430:-3600:1] [-395:11025:1] |
Generators of the group modulo torsion |
j |
4108974916/36015 |
j-invariant |
L |
11.185126440058 |
L(r)(E,1)/r! |
Ω |
0.3772087220539 |
Real period |
R |
0.92663605275795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ns3 12600bv4 33600j3 20160bu4 |
Quadratic twists by: -4 8 -3 5 |