Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830i |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
3554880 = 26 · 3 · 5 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64,-178] |
[a1,a2,a3,a4,a6] |
j |
28344726649/3554880 |
j-invariant |
L |
1.7050383898832 |
L(r)(E,1)/r! |
Ω |
1.7050383898832 |
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 |
38640bs1 14490by1 24150bw1 33810s1 |
Quadratic twists by: -4 -3 5 -7 |