Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42300m |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
908243604000000 = 28 · 37 · 56 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116400,15216500] |
[a1,a2,a3,a4,a6] |
Generators |
[181:279:1] |
Generators of the group modulo torsion |
j |
59812937728/311469 |
j-invariant |
L |
6.8332993360573 |
L(r)(E,1)/r! |
Ω |
0.50044499828973 |
Real period |
R |
3.4136115654115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14100d2 1692d2 |
Quadratic twists by: -3 5 |