Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048h |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
237568 |
Modular degree for the optimal curve |
Δ |
-10082734848 = -1 · 28 · 310 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -4 -1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132780,18622892] |
[a1,a2,a3,a4,a6] |
Generators |
[1682:27:8] |
Generators of the group modulo torsion |
j |
-1387248332416000/54027 |
j-invariant |
L |
4.423803012629 |
L(r)(E,1)/r! |
Ω |
0.95407801171059 |
Real period |
R |
2.3183654554353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48024f1 32016b1 |
Quadratic twists by: -4 -3 |