Atkin-Lehner |
2+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
92752g |
Isogeny class |
Conductor |
92752 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1798272 |
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] |
Generators |
[858:2244:1] [-638:45628:1] |
Generators of the group modulo torsion |
j |
421913920852762241906/2967954604813 |
j-invariant |
L |
5.3844536789653 |
L(r)(E,1)/r! |
Ω |
0.3800475513757 |
Real period |
R |
0.16866478628288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46376c1 |
Quadratic twists by: -4 |