Atkin-Lehner |
2- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72670o |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-33797944960 = -1 · 27 · 5 · 134 · 432 |
Discriminant |
Eigenvalues |
2- -2 5+ -5 1 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,419,8241] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-2321:1] [-26:675:8] |
Generators of the group modulo torsion |
j |
284791871/1183360 |
j-invariant |
L |
9.1118048880444 |
L(r)(E,1)/r! |
Ω |
0.83173594396112 |
Real period |
R |
0.2608372729427 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72670h1 |
Quadratic twists by: 13 |