Atkin-Lehner |
2+ 11+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
46376c |
Isogeny class |
Conductor |
46376 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
899136 |
Modular degree for the optimal curve |
Δ |
6078371030657024 = 211 · 117 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 2 -3 3 11+ 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1984312,-1075210356] |
[a1,a2,a3,a4,a6] |
j |
421913920852762241906/2967954604813 |
j-invariant |
L |
3.4344800205746 |
L(r)(E,1)/r! |
Ω |
0.12720296370071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92752g1 |
Quadratic twists by: -4 |