Atkin-Lehner |
2+ 3+ 11- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734g |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-1318073328 = -1 · 24 · 32 · 113 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11- 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,269,541] |
[a1,a2,a3,a4,a6] |
Generators |
[1:28:1] [10:61:1] |
Generators of the group modulo torsion |
j |
2140205548103/1318073328 |
j-invariant |
L |
3.9737995455548 |
L(r)(E,1)/r! |
Ω |
0.94206125456481 |
Real period |
R |
0.70303276039651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59202x1 |
Quadratic twists by: -3 |