Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350cy |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-11088090000000 = -1 · 27 · 38 · 57 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3338,176292] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-716:1] |
Generators of the group modulo torsion |
j |
-1557701041/4199040 |
j-invariant |
L |
9.0810824906485 |
L(r)(E,1)/r! |
Ω |
0.6341121450242 |
Real period |
R |
0.063932771436991 |
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 |
76050bp1 5070b1 25350bd1 |
Quadratic twists by: -3 5 13 |