Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800c |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
868000000000 = 211 · 59 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -5 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3008,43988] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:250:1] |
Generators of the group modulo torsion |
j |
94091762/27125 |
j-invariant |
L |
6.2378385770018 |
L(r)(E,1)/r! |
Ω |
0.82639816086528 |
Real period |
R |
0.94352802205794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43400s1 17360o1 |
Quadratic twists by: -4 5 |