Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25143r |
Isogeny class |
Conductor |
25143 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
403802354517381 = 34 · 172 · 297 |
Discriminant |
Eigenvalues |
-2 3- -1 3 -6 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-42936,3270782] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:1261:1] |
Generators of the group modulo torsion |
j |
30290101672185856/1397239981029 |
j-invariant |
L |
3.2376707732328 |
L(r)(E,1)/r! |
Ω |
0.52664582378487 |
Real period |
R |
0.21956140886682 |
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 |
75429k1 25143i1 |
Quadratic twists by: -3 17 |