Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864bu |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4279661568 = -1 · 210 · 38 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 3 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,7126] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-36:1] |
Generators of the group modulo torsion |
j |
-834148/117 |
j-invariant |
L |
4.5963544665389 |
L(r)(E,1)/r! |
Ω |
1.3386201508239 |
Real period |
R |
0.85841275878476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728bq1 15288m1 45864be1 |
Quadratic twists by: -4 -3 -7 |