Atkin-Lehner |
3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
63291k |
Isogeny class |
Conductor |
63291 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-25970744952843 = -1 · 3 · 179 · 73 |
Discriminant |
Eigenvalues |
1 3- -2 1 -2 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5642,-294949] |
[a1,a2,a3,a4,a6] |
Generators |
[61415431:506375136:456533] |
Generators of the group modulo torsion |
j |
-822656953/1075947 |
j-invariant |
L |
7.3040921613568 |
L(r)(E,1)/r! |
Ω |
0.26264529505802 |
Real period |
R |
13.90486008905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3723a1 |
Quadratic twists by: 17 |