Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225br |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-763631833278515625 = -1 · 37 · 58 · 197 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 -3 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1260680,-546127428] |
[a1,a2,a3,a4,a6] |
j |
-16539745/57 |
j-invariant |
L |
1.1395902742399 |
L(r)(E,1)/r! |
Ω |
0.071224394250125 |
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 |
27075l1 81225bc1 4275p1 |
Quadratic twists by: -3 5 -19 |