Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710bc |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-2.2065842295338E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 3 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-174044,227712026] |
[a1,a2,a3,a4,a6] |
Generators |
[1409:52023:1] |
Generators of the group modulo torsion |
j |
-2017434532214148121/76352395485600000 |
j-invariant |
L |
6.3223306308069 |
L(r)(E,1)/r! |
Ω |
0.17859234816816 |
Real period |
R |
0.98335845405029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710t1 |
Quadratic twists by: 17 |