Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632s |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66147840 |
Modular degree for the optimal curve |
Δ |
-3086677745342464 = -1 · 211 · 79 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38722504816,2932886041283724] |
[a1,a2,a3,a4,a6] |
Generators |
[882939576554639740950:131747171929726339:7771569350370552] |
Generators of the group modulo torsion |
j |
-26649916161419259107916753602/12810707 |
j-invariant |
L |
8.0061777778252 |
L(r)(E,1)/r! |
Ω |
0.084080149056313 |
Real period |
R |
23.805196195784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376k1 |
Quadratic twists by: -7 |