Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850cf |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1.317187850888E+21 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1812362,1472265892] |
[a1,a2,a3,a4,a6] |
Generators |
[-498:21374:1] |
Generators of the group modulo torsion |
j |
58471492723/116985856 |
j-invariant |
L |
9.4547062947635 |
L(r)(E,1)/r! |
Ω |
0.10542781447349 |
Real period |
R |
1.8683214556923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31850bh1 31850co1 |
Quadratic twists by: 5 -7 |