Atkin-Lehner |
3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
89739l |
Isogeny class |
Conductor |
89739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
283485501 = 37 · 133 · 59 |
Discriminant |
Eigenvalues |
2 3- -1 2 6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1443,-21083] |
[a1,a2,a3,a4,a6] |
j |
207474688/177 |
j-invariant |
L |
6.1971955310839 |
L(r)(E,1)/r! |
Ω |
0.77464944513407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29913d1 89739i1 |
Quadratic twists by: -3 13 |