Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025cj |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-20841959139373125 = -1 · 312 · 54 · 137 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 -1 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18220,-6885628] |
[a1,a2,a3,a4,a6] |
Generators |
[504:11155:1] |
Generators of the group modulo torsion |
j |
304175/9477 |
j-invariant |
L |
3.8006907185789 |
L(r)(E,1)/r! |
Ω |
0.18490009136301 |
Real period |
R |
1.7129479180539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12675bf1 38025bd1 2925p1 |
Quadratic twists by: -3 5 13 |