Atkin-Lehner |
2- 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
29784f |
Isogeny class |
Conductor |
29784 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-2856940848 = -1 · 24 · 33 · 17 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 2 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1043,-12876] |
[a1,a2,a3,a4,a6] |
Generators |
[76:584:1] |
Generators of the group modulo torsion |
j |
-7850060032000/178558803 |
j-invariant |
L |
4.245928122024 |
L(r)(E,1)/r! |
Ω |
0.41944925763785 |
Real period |
R |
1.6871043972975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59568g1 89352h1 |
Quadratic twists by: -4 -3 |