Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66470v |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-3.3805829703588E+19 |
Discriminant |
Eigenvalues |
2- -1 5- 3 0 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29481185,61600381215] |
[a1,a2,a3,a4,a6] |
Generators |
[3163:1308:1] |
Generators of the group modulo torsion |
j |
-117399160931444643889/1400548236800 |
j-invariant |
L |
10.314982703578 |
L(r)(E,1)/r! |
Ω |
0.18813032658524 |
Real period |
R |
0.76151278351315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910i1 |
Quadratic twists by: 17 |