Atkin-Lehner |
2+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25792r |
Isogeny class |
Conductor |
25792 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-276734541824 = -1 · 217 · 133 · 312 |
Discriminant |
Eigenvalues |
2+ -1 -1 -3 -4 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4641,125857] |
[a1,a2,a3,a4,a6] |
Generators |
[57:208:1] [-39:496:1] |
Generators of the group modulo torsion |
j |
-84361067282/2111317 |
j-invariant |
L |
5.8154182848415 |
L(r)(E,1)/r! |
Ω |
0.97564338264726 |
Real period |
R |
0.24835826236459 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25792bh1 3224a1 |
Quadratic twists by: -4 8 |