Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864bz |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
96589584 = 24 · 36 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,3031] |
[a1,a2,a3,a4,a6] |
Generators |
[9:13:1] |
Generators of the group modulo torsion |
j |
12291328/169 |
j-invariant |
L |
5.2380951673838 |
L(r)(E,1)/r! |
Ω |
1.903015219949 |
Real period |
R |
0.68813101341515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728bx1 5096d1 45864bh1 |
Quadratic twists by: -4 -3 -7 |