Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bb |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2004480 |
Modular degree for the optimal curve |
Δ |
-158466313977311232 = -1 · 212 · 36 · 192 · 435 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 3 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2397504,1428979952] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:40223:1] |
Generators of the group modulo torsion |
j |
-510404220761669632/53070047923 |
j-invariant |
L |
7.0862234269573 |
L(r)(E,1)/r! |
Ω |
0.31048526247213 |
Real period |
R |
5.7057646718356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7353o1 13072e1 |
Quadratic twists by: -4 -3 |