Atkin-Lehner |
3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425g |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-60703125 = -1 · 3 · 57 · 7 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 5 -4 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,0,-375] |
[a1,a2,a3,a4,a6] |
j |
-1/3885 |
j-invariant |
L |
1.8070557942921 |
L(r)(E,1)/r! |
Ω |
0.90352789714605 |
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 |
58275u1 3885i1 |
Quadratic twists by: -3 5 |