Atkin-Lehner |
3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18975a |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2205535109765625 = 36 · 58 · 114 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-195813,33192906] |
[a1,a2,a3,a4,a6] |
Generators |
[-360:7742:1] |
Generators of the group modulo torsion |
j |
53140836723628681/141154247025 |
j-invariant |
L |
2.3050413408115 |
L(r)(E,1)/r! |
Ω |
0.46374519940063 |
Real period |
R |
2.4852455009676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56925y2 3795j2 |
Quadratic twists by: -3 5 |