Atkin-Lehner |
2+ 3- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23994f |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
10075176576 = 27 · 310 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 5 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-648,4288] |
[a1,a2,a3,a4,a6] |
j |
41314084993/13820544 |
j-invariant |
L |
2.3730993034352 |
L(r)(E,1)/r! |
Ω |
1.1865496517176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7998c1 |
Quadratic twists by: -3 |