Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745c |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-128531120886065625 = -1 · 3 · 55 · 75 · 138 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 3 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56618,-18035103] |
[a1,a2,a3,a4,a6] |
Generators |
[31436696:1089244719:24389] |
Generators of the group modulo torsion |
j |
-24606647689/157565625 |
j-invariant |
L |
4.3914189024183 |
L(r)(E,1)/r! |
Ω |
0.13796684543181 |
Real period |
R |
10.609841054383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53235bd1 88725bs1 124215cu1 17745j1 |
Quadratic twists by: -3 5 -7 13 |