Atkin-Lehner |
2+ 3+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
38544b |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2928196313856 = -1 · 28 · 35 · 112 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 11- 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3455,24733] |
[a1,a2,a3,a4,a6] |
Generators |
[84:949:1] |
Generators of the group modulo torsion |
j |
17811569736704/11438266851 |
j-invariant |
L |
5.8482702048224 |
L(r)(E,1)/r! |
Ω |
0.50054108104623 |
Real period |
R |
1.9473160899528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19272a1 115632f1 |
Quadratic twists by: -4 -3 |