Atkin-Lehner |
3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112677g |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
143616 |
Modular degree for the optimal curve |
Δ |
-725227820211 = -1 · 3 · 237 · 71 |
Discriminant |
Eigenvalues |
2 3- 1 0 0 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1940,25093] |
[a1,a2,a3,a4,a6] |
Generators |
[-759848530:10615384349:103823000] |
Generators of the group modulo torsion |
j |
5451776/4899 |
j-invariant |
L |
19.077585396949 |
L(r)(E,1)/r! |
Ω |
0.58839172684887 |
Real period |
R |
16.211636303057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4899e1 |
Quadratic twists by: -23 |