Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416gp |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7311360 |
Modular degree for the optimal curve |
Δ |
-1.4237736828605E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 13- -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57878796,-170452995568] |
[a1,a2,a3,a4,a6] |
Generators |
[43297958:7572824064:1331] |
Generators of the group modulo torsion |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
7.8094325469438 |
L(r)(E,1)/r! |
Ω |
0.02735693196485 |
Real period |
R |
7.1366121728467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416ce1 13104cf1 17472ck1 |
Quadratic twists by: -4 8 -3 |