Atkin-Lehner |
2+ 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720i |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
180848640 = 211 · 3 · 5 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3767680,2816131360] |
[a1,a2,a3,a4,a6] |
Generators |
[9306:19721:8] |
Generators of the group modulo torsion |
j |
2888124458789016195842/88305 |
j-invariant |
L |
3.9383341490963 |
L(r)(E,1)/r! |
Ω |
0.65582161606136 |
Real period |
R |
6.0051911261618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999792 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360bb6 |
Quadratic twists by: -4 |