Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370cc |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
1.2030695105547E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1388416,-344122591] |
[a1,a2,a3,a4,a6] |
Generators |
[-547:16149:1] |
Generators of the group modulo torsion |
j |
2515905479569411441/1022592211200000 |
j-invariant |
L |
9.0026778762036 |
L(r)(E,1)/r! |
Ω |
0.1441039851901 |
Real period |
R |
1.4198518882129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bk1 |
Quadratic twists by: -7 |