Atkin-Lehner |
2+ 3- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550u |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6031872 |
Modular degree for the optimal curve |
Δ |
9.635328E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -1 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14892751,22115008898] |
[a1,a2,a3,a4,a6] |
Generators |
[1207:76196:1] |
Generators of the group modulo torsion |
j |
23379134490037964233441/6166609920000000 |
j-invariant |
L |
6.4189768721898 |
L(r)(E,1)/r! |
Ω |
0.1852841996376 |
Real period |
R |
1.4434979887224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20910l1 |
Quadratic twists by: 5 |