Atkin-Lehner |
3+ 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
76995a |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43392 |
Modular degree for the optimal curve |
Δ |
-4883253885 = -1 · 39 · 5 · 292 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 4 1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1973,-33398] |
[a1,a2,a3,a4,a6] |
j |
-43132764843/248095 |
j-invariant |
L |
1.4322394484708 |
L(r)(E,1)/r! |
Ω |
0.35805986838669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76995d1 |
Quadratic twists by: -3 |