Atkin-Lehner |
3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
93075k |
Isogeny class |
Conductor |
93075 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-2146869404296875 = -1 · 311 · 510 · 17 · 73 |
Discriminant |
Eigenvalues |
1 3- 5+ -1 6 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-120251,-16214227] |
[a1,a2,a3,a4,a6] |
j |
-12307350934887841/137399641875 |
j-invariant |
L |
2.818263663205 |
L(r)(E,1)/r! |
Ω |
0.12810289459622 |
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 |
18615f1 |
Quadratic twists by: 5 |