Atkin-Lehner |
5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86975o |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-2193596855515625 = -1 · 56 · 711 · 71 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 1 -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,29987,1053156] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-2457:1] |
Generators of the group modulo torsion |
j |
1622234375/1193297 |
j-invariant |
L |
2.7469707542165 |
L(r)(E,1)/r! |
Ω |
0.2948497699529 |
Real period |
R |
1.1645637176301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3479f1 12425c1 |
Quadratic twists by: 5 -7 |