Atkin-Lehner |
3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38325q |
Isogeny class |
Conductor |
38325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-48853393091015625 = -1 · 38 · 58 · 72 · 733 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 3 6 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38326,11016173] |
[a1,a2,a3,a4,a6] |
j |
-15937781699065/125064686313 |
j-invariant |
L |
4.900540984548 |
L(r)(E,1)/r! |
Ω |
0.3062838115316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114975br1 38325a1 |
Quadratic twists by: -3 5 |