Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370a |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-1.5991858279305E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,224692,-606949488] |
[a1,a2,a3,a4,a6] |
Generators |
[6125296:117096980:6859] |
Generators of the group modulo torsion |
j |
51974460932759/6625297800000 |
j-invariant |
L |
4.1939458913726 |
L(r)(E,1)/r! |
Ω |
0.086113300745995 |
Real period |
R |
12.175662359593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610u1 |
Quadratic twists by: 17 |