Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48024g |
Isogeny class |
Conductor |
48024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-4831310448 = -1 · 24 · 39 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 5 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,-7533] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1863:1] |
Generators of the group modulo torsion |
j |
-108000000/15341 |
j-invariant |
L |
5.8122322902519 |
L(r)(E,1)/r! |
Ω |
0.46466096471851 |
Real period |
R |
1.5635680451912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96048b1 48024a1 |
Quadratic twists by: -4 -3 |