Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025bc |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
824705568984375 = 37 · 57 · 136 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3042792,-2042183259] |
[a1,a2,a3,a4,a6] |
j |
56667352321/15 |
j-invariant |
L |
0.91447423822629 |
L(r)(E,1)/r! |
Ω |
0.11430927978383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12675x4 7605q3 225c3 |
Quadratic twists by: -3 5 13 |