Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864br |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-2.7355867354255E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42015099,-105124524442] |
[a1,a2,a3,a4,a6] |
Generators |
[92923806853583:-13151409204581388:4196653397] |
Generators of the group modulo torsion |
j |
-38898423529252/129730653 |
j-invariant |
L |
7.50039362172 |
L(r)(E,1)/r! |
Ω |
0.02964363715897 |
Real period |
R |
21.084889092999 |
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 |
91728bm1 15288g1 45864bf1 |
Quadratic twists by: -4 -3 -7 |