Atkin-Lehner |
2+ 3- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28536g |
Isogeny class |
Conductor |
28536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-2339952 = -1 · 24 · 3 · 29 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 5 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28,57] |
[a1,a2,a3,a4,a6] |
Generators |
[24:123:1] |
Generators of the group modulo torsion |
j |
146377472/146247 |
j-invariant |
L |
7.5568596122745 |
L(r)(E,1)/r! |
Ω |
1.7044483919933 |
Real period |
R |
1.1084025259687 |
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 |
57072f1 85608t1 |
Quadratic twists by: -4 -3 |