Atkin-Lehner |
5+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110495a |
Isogeny class |
Conductor |
110495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
364785430625 = 54 · 76 · 112 · 41 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5473,-151728] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:35:1] |
Generators of the group modulo torsion |
j |
154076860881/3100625 |
j-invariant |
L |
2.5800452293868 |
L(r)(E,1)/r! |
Ω |
0.55575142432286 |
Real period |
R |
2.3212223484705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999097755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2255a1 |
Quadratic twists by: -7 |