Atkin-Lehner |
2+ 3+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18870a |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
143373316500 = 22 · 32 · 53 · 17 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-408028,-100489172] |
[a1,a2,a3,a4,a6] |
Generators |
[638964:63395147:64] |
Generators of the group modulo torsion |
j |
7512686649078264798409/143373316500 |
j-invariant |
L |
3.176016237845 |
L(r)(E,1)/r! |
Ω |
0.18889781087428 |
Real period |
R |
8.4067047234304 |
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 |
56610bb4 94350cg4 |
Quadratic twists by: -3 5 |