Atkin-Lehner |
2- 5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
91120j |
Isogeny class |
Conductor |
91120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-237826047500000000 = -1 · 28 · 510 · 175 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -5 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-301741,68075441] |
[a1,a2,a3,a4,a6] |
Generators |
[736:15625:1] |
Generators of the group modulo torsion |
j |
-11868290336625270784/929007998046875 |
j-invariant |
L |
3.2167987568572 |
L(r)(E,1)/r! |
Ω |
0.30696042587631 |
Real period |
R |
2.6198806858621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22780a1 |
Quadratic twists by: -4 |