Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025cp |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-334005755438671875 = -1 · 311 · 58 · 136 |
Discriminant |
Eigenvalues |
2 3- 5- 3 2 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,63375,-27119219] |
[a1,a2,a3,a4,a6] |
Generators |
[207714347601898:-8301121195793747:132495001192] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
13.204796186646 |
L(r)(E,1)/r! |
Ω |
0.14954473163694 |
Real period |
R |
22.074993953488 |
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 |
12675s2 38025bt1 225e2 |
Quadratic twists by: -3 5 13 |