Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920bi |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
1.2371668940252E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6131265,2349043137] |
[a1,a2,a3,a4,a6] |
Generators |
[2329:26400:1] |
Generators of the group modulo torsion |
j |
388950302854250851396/188776686710390625 |
j-invariant |
L |
6.3177487190856 |
L(r)(E,1)/r! |
Ω |
0.1126165695804 |
Real period |
R |
4.0071169579928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920id1 9240l1 |
Quadratic twists by: -4 8 |