Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025bp |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-748446075 = -1 · 311 · 52 · 132 |
Discriminant |
Eigenvalues |
-2 3- 5+ 0 -2 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,195,796] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:24:1] [4:-41:1] |
Generators of the group modulo torsion |
j |
266240/243 |
j-invariant |
L |
4.7329371627343 |
L(r)(E,1)/r! |
Ω |
1.0451822352762 |
Real period |
R |
1.1320841961796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12675i1 38025cn1 38025bn1 |
Quadratic twists by: -3 5 13 |