Atkin-Lehner |
2+ 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
86904d |
Isogeny class |
Conductor |
86904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-126706032 = -1 · 24 · 38 · 17 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -3 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,-349] |
[a1,a2,a3,a4,a6] |
Generators |
[7:27:1] |
Generators of the group modulo torsion |
j |
10976000/10863 |
j-invariant |
L |
4.9624094156598 |
L(r)(E,1)/r! |
Ω |
1.0099401714738 |
Real period |
R |
1.2283919295216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28968h1 |
Quadratic twists by: -3 |