Atkin-Lehner |
2+ 5+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104650a |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4032000 |
Modular degree for the optimal curve |
Δ |
-1.314742281125E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -3 13+ 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3633451,2671195798] |
[a1,a2,a3,a4,a6] |
Generators |
[-1912:52234:1] |
Generators of the group modulo torsion |
j |
-543227090918866225/1346296095872 |
j-invariant |
L |
4.0803768289565 |
L(r)(E,1)/r! |
Ω |
0.22464346172451 |
Real period |
R |
2.2704738401881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104650bo1 |
Quadratic twists by: 5 |