Atkin-Lehner |
2- 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822bi |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
29243899635729408 = 210 · 310 · 74 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80105,2927913] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:3396:1] |
Generators of the group modulo torsion |
j |
77977619937015625/40115088663552 |
j-invariant |
L |
11.678550638087 |
L(r)(E,1)/r! |
Ω |
0.32855021485701 |
Real period |
R |
0.59242849903452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274a1 |
Quadratic twists by: -3 |