Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25668h |
Isogeny class |
Conductor |
25668 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
31073250398976 = 28 · 311 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -3 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135543,-19205314] |
[a1,a2,a3,a4,a6] |
Generators |
[478:5022:1] |
Generators of the group modulo torsion |
j |
1475664058635856/166501899 |
j-invariant |
L |
5.3036964134581 |
L(r)(E,1)/r! |
Ω |
0.24881881738605 |
Real period |
R |
1.7762913020995 |
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 |
102672bh1 8556a1 |
Quadratic twists by: -4 -3 |