Atkin-Lehner |
3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345bj |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
110793269768788215 = 33 · 5 · 76 · 178 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-172973,-22602859] |
[a1,a2,a3,a4,a6] |
j |
23711636464489/4590075735 |
j-invariant |
L |
4.2705801966266 |
L(r)(E,1)/r! |
Ω |
0.23725445536817 |
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 |
91035y2 1785a2 |
Quadratic twists by: -3 17 |