Atkin-Lehner |
2- 3- 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950bn |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1784250000 = 24 · 32 · 56 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-313,617] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:55:1] |
Generators of the group modulo torsion |
j |
217081801/114192 |
j-invariant |
L |
13.190566284647 |
L(r)(E,1)/r! |
Ω |
1.3063398887681 |
Real period |
R |
2.5243365849575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758b1 |
Quadratic twists by: 5 |