Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240l |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-61053750000 = -1 · 24 · 36 · 57 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,-14047] |
[a1,a2,a3,a4,a6] |
Generators |
[6660616:30927593:148877] |
Generators of the group modulo torsion |
j |
-3583365376/5234375 |
j-invariant |
L |
5.2838763787105 |
L(r)(E,1)/r! |
Ω |
0.43739667144743 |
Real period |
R |
12.080284838969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24120d1 5360f1 |
Quadratic twists by: -4 -3 |