Atkin-Lehner |
2+ 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450bk |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
504840262500000 = 25 · 33 · 58 · 75 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-171826,-27407452] |
[a1,a2,a3,a4,a6] |
j |
1436238897355705/1292391072 |
j-invariant |
L |
3.517566600999 |
L(r)(E,1)/r! |
Ω |
0.2345044555353 |
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 |
93450bs1 |
Quadratic twists by: 5 |