Atkin-Lehner |
3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18135u |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-128046491102073375 = -1 · 326 · 53 · 13 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167702,-31503796] |
[a1,a2,a3,a4,a6] |
Generators |
[37884:1329437:27] |
Generators of the group modulo torsion |
j |
-715498095288059929/175646764200375 |
j-invariant |
L |
2.9805254799052 |
L(r)(E,1)/r! |
Ω |
0.11645272882518 |
Real period |
R |
8.5314316231546 |
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 |
6045j1 90675ba1 |
Quadratic twists by: -3 5 |