Atkin-Lehner |
3- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55275j |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-33520798265625 = -1 · 37 · 56 · 114 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 11+ 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-976,278723] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:392:1] |
Generators of the group modulo torsion |
j |
-6570725617/2145331089 |
j-invariant |
L |
10.463451907879 |
L(r)(E,1)/r! |
Ω |
0.53271353695722 |
Real period |
R |
1.4029856013441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211b1 |
Quadratic twists by: 5 |