Atkin-Lehner |
2+ 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048b |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44544 |
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 |
[18:621:8] |
Generators of the group modulo torsion |
j |
-108000000/15341 |
j-invariant |
L |
7.6087300700262 |
L(r)(E,1)/r! |
Ω |
1.3247365982789 |
Real period |
R |
1.4358948939319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48024g1 96048a1 |
Quadratic twists by: -4 -3 |