Atkin-Lehner |
3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425n |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-4164234375 = -1 · 3 · 56 · 74 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-351,3973] |
[a1,a2,a3,a4,a6] |
j |
-304821217/266511 |
j-invariant |
L |
2.5366130726436 |
L(r)(E,1)/r! |
Ω |
1.2683065363218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58275d1 777d1 |
Quadratic twists by: -3 5 |