Atkin-Lehner |
2+ 7+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78736a |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-432103168 = -1 · 28 · 74 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,169,534] |
[a1,a2,a3,a4,a6] |
Generators |
[6:42:1] |
Generators of the group modulo torsion |
j |
2085181488/1687903 |
j-invariant |
L |
3.1164368549314 |
L(r)(E,1)/r! |
Ω |
1.0803771508076 |
Real period |
R |
2.8845823453523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39368d1 |
Quadratic twists by: -4 |