Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025cn |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-11694469921875 = -1 · 311 · 58 · 132 |
Discriminant |
Eigenvalues |
2 3- 5- 0 -2 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4875,99531] |
[a1,a2,a3,a4,a6] |
Generators |
[3925470:53180243:27000] |
Generators of the group modulo torsion |
j |
266240/243 |
j-invariant |
L |
11.27082876588 |
L(r)(E,1)/r! |
Ω |
0.46741970539053 |
Real period |
R |
12.056433047108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12675bl1 38025bp1 38025cq1 |
Quadratic twists by: -3 5 13 |