Atkin-Lehner |
2- 3+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
22692d |
Isogeny class |
Conductor |
22692 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-16610544 = -1 · 24 · 32 · 31 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 0 -2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26,181] |
[a1,a2,a3,a4,a6] |
Generators |
[15:61:1] |
Generators of the group modulo torsion |
j |
116872448/1038159 |
j-invariant |
L |
5.8333439186176 |
L(r)(E,1)/r! |
Ω |
1.6092095730998 |
Real period |
R |
0.90624366399041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90768k1 68076e1 |
Quadratic twists by: -4 -3 |