Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5920a |
Isogeny class |
Conductor |
5920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
3788800 = 212 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 1 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,139] |
[a1,a2,a3,a4,a6] |
Generators |
[9:20:1] |
Generators of the group modulo torsion |
j |
6229504/925 |
j-invariant |
L |
4.6252186099095 |
L(r)(E,1)/r! |
Ω |
2.3835579614131 |
Real period |
R |
0.4851170691867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5920i1 11840q1 53280bv1 29600w1 |
Quadratic twists by: -4 8 -3 5 |