Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300f |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-158454262968750000 = -1 · 24 · 35 · 510 · 73 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12268333,-16535577338] |
[a1,a2,a3,a4,a6] |
Generators |
[3118980169:88524238413:704969] |
Generators of the group modulo torsion |
j |
-1306954258451660800/1014107283 |
j-invariant |
L |
5.5162949475276 |
L(r)(E,1)/r! |
Ω |
0.040334172093012 |
Real period |
R |
15.196088800899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300bc2 |
Quadratic twists by: 5 |