Atkin-Lehner |
2+ 3- 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042s |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-70384282761719808 = -1 · 212 · 38 · 7 · 232 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-155223,-26738019] |
[a1,a2,a3,a4,a6] |
Generators |
[583:8690:1] |
Generators of the group modulo torsion |
j |
-567369487256391793/96549084721152 |
j-invariant |
L |
2.4486564698537 |
L(r)(E,1)/r! |
Ω |
0.11915404131392 |
Real period |
R |
5.1375858496366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28014s1 |
Quadratic twists by: -3 |