Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15504t |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-294576 = -1 · 24 · 3 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,26] |
[a1,a2,a3,a4,a6] |
Generators |
[858:4940:27] |
Generators of the group modulo torsion |
j |
8388608/18411 |
j-invariant |
L |
4.5428792931615 |
L(r)(E,1)/r! |
Ω |
2.1344549950794 |
Real period |
R |
4.2567112481963 |
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 |
3876d1 62016cc1 46512bb1 |
Quadratic twists by: -4 8 -3 |