Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488v |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
9600272608002048 = 218 · 36 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 1 -4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57459,2425138] |
[a1,a2,a3,a4,a6] |
Generators |
[-187209:361034:729] |
Generators of the group modulo torsion |
j |
7026036894577/3215111872 |
j-invariant |
L |
7.0611765025183 |
L(r)(E,1)/r! |
Ω |
0.36644321767135 |
Real period |
R |
9.6347485256667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7686j1 6832c1 |
Quadratic twists by: -4 -3 |