Atkin-Lehner |
3- 5- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18285d |
Isogeny class |
Conductor |
18285 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3028453125 = -1 · 3 · 56 · 23 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,230,-2263] |
[a1,a2,a3,a4,a6] |
Generators |
[64:493:1] |
Generators of the group modulo torsion |
j |
1345207252319/3028453125 |
j-invariant |
L |
4.7564641371457 |
L(r)(E,1)/r! |
Ω |
0.73836437753566 |
Real period |
R |
2.1472975863311 |
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 |
54855d2 91425c2 |
Quadratic twists by: -3 5 |