Atkin-Lehner |
2- 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370y |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
55055790156250 = 2 · 57 · 136 · 73 |
Discriminant |
Eigenvalues |
2- 3 5- -1 -5 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-412392,102035041] |
[a1,a2,a3,a4,a6] |
Generators |
[77586:45599:216] |
Generators of the group modulo torsion |
j |
1606916486137689/11406250 |
j-invariant |
L |
20.478997522731 |
L(r)(E,1)/r! |
Ω |
0.56260593343162 |
Real period |
R |
2.600017956136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730c1 |
Quadratic twists by: 13 |