Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18300f |
Isogeny class |
Conductor |
18300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6028020000000 = -1 · 28 · 34 · 57 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3908,-149688] |
[a1,a2,a3,a4,a6] |
Generators |
[86:378:1] |
Generators of the group modulo torsion |
j |
-1650587344/1507005 |
j-invariant |
L |
4.9120402245121 |
L(r)(E,1)/r! |
Ω |
0.29092016503164 |
Real period |
R |
2.8140825874445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200ct2 54900u2 3660f2 |
Quadratic twists by: -4 -3 5 |