Atkin-Lehner |
2+ 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720i |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-107572988643133440 = -1 · 211 · 3 · 5 · 7 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-231280,45703840] |
[a1,a2,a3,a4,a6] |
Generators |
[117:4498:1] |
Generators of the group modulo torsion |
j |
-668051392518044642/52525873360905 |
j-invariant |
L |
3.9383341490963 |
L(r)(E,1)/r! |
Ω |
0.32791080803068 |
Real period |
R |
6.0051911261618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999948 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360bb5 |
Quadratic twists by: -4 |