Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345v |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
653454182922036615 = 33 · 5 · 74 · 1710 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-293341,47165426] |
[a1,a2,a3,a4,a6] |
j |
115650783909361/27072079335 |
j-invariant |
L |
1.6238970445123 |
L(r)(E,1)/r! |
Ω |
0.27064950741918 |
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 |
91035bf4 1785h3 |
Quadratic twists by: -3 17 |