Atkin-Lehner |
2+ 3- 5- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
93330s |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
29882100744000000 = 29 · 310 · 56 · 17 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-430659,-108353835] |
[a1,a2,a3,a4,a6] |
j |
12117062107441248049/40990536000000 |
j-invariant |
L |
2.2368441312202 |
L(r)(E,1)/r! |
Ω |
0.18640367261134 |
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 |
31110x2 |
Quadratic twists by: -3 |