Atkin-Lehner |
2+ 3- 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
13542d |
Isogeny class |
Conductor |
13542 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-21679171128 = -1 · 23 · 39 · 37 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 3 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3582,82504] |
[a1,a2,a3,a4,a6] |
Generators |
[2:273:1] |
Generators of the group modulo torsion |
j |
-5080730480945497/21679171128 |
j-invariant |
L |
3.7227136812307 |
L(r)(E,1)/r! |
Ω |
1.2144612672301 |
Real period |
R |
0.17029561363183 |
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 |
108336o1 40626n1 |
Quadratic twists by: -4 -3 |