Atkin-Lehner |
2- 3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650cj |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1353000000 = 26 · 3 · 56 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,5892] |
[a1,a2,a3,a4,a6] |
Generators |
[48:270:1] |
Generators of the group modulo torsion |
j |
1838265625/86592 |
j-invariant |
L |
13.425060632095 |
L(r)(E,1)/r! |
Ω |
1.5051987094901 |
Real period |
R |
2.9730428163923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706a1 |
Quadratic twists by: 5 |