Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345u |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10895261153161875 = 3 · 54 · 72 · 179 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60696,-2816835] |
[a1,a2,a3,a4,a6] |
j |
208527857/91875 |
j-invariant |
L |
0.6335338112993 |
L(r)(E,1)/r! |
Ω |
0.31676690565108 |
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 |
91035be2 30345r2 |
Quadratic twists by: -3 17 |