Atkin-Lehner |
2+ 3+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40992a |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-562281689088 = -1 · 212 · 38 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -2 -4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1715,22981] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-324:1] |
Generators of the group modulo torsion |
j |
136114025984/137275803 |
j-invariant |
L |
2.3368421051395 |
L(r)(E,1)/r! |
Ω |
0.60750150305053 |
Real period |
R |
0.96166103845106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40992l1 81984cn1 122976ba1 |
Quadratic twists by: -4 8 -3 |