Atkin-Lehner |
3+ 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
93075j |
Isogeny class |
Conductor |
93075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-1804782421875 = -1 · 3 · 58 · 172 · 732 |
Discriminant |
Eigenvalues |
2 3+ 5- 1 0 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22458,-1289557] |
[a1,a2,a3,a4,a6] |
j |
-3206979973120/4620243 |
j-invariant |
L |
3.1196629162543 |
L(r)(E,1)/r! |
Ω |
0.19497892494023 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93075l1 |
Quadratic twists by: 5 |