Atkin-Lehner |
2+ 3+ 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28290b |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-31317030000 = -1 · 24 · 34 · 54 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-192,8496] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-96:1] |
Generators of the group modulo torsion |
j |
-789145184521/31317030000 |
j-invariant |
L |
3.9596649818532 |
L(r)(E,1)/r! |
Ω |
0.974728975766 |
Real period |
R |
0.50779050899014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84870ba1 |
Quadratic twists by: -3 |