Atkin-Lehner |
2+ 3- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86904g |
Isogeny class |
Conductor |
86904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-602982856157184 = -1 · 211 · 315 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 -3 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1149,1181342] |
[a1,a2,a3,a4,a6] |
Generators |
[434:9477:8] |
Generators of the group modulo torsion |
j |
112363774/403875477 |
j-invariant |
L |
9.7030875369664 |
L(r)(E,1)/r! |
Ω |
0.40481511750624 |
Real period |
R |
2.996147845498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28968g1 |
Quadratic twists by: -3 |