Atkin-Lehner |
3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425f |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-871023495234375 = -1 · 316 · 57 · 7 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54000,5011875] |
[a1,a2,a3,a4,a6] |
j |
-1114544804970241/55745503695 |
j-invariant |
L |
0.98796030453908 |
L(r)(E,1)/r! |
Ω |
0.49398015226954 |
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 |
58275r1 3885h1 |
Quadratic twists by: -3 5 |