Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53724a |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
9438877008 = 24 · 32 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1613,25038] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-121:1] |
Generators of the group modulo torsion |
j |
16384000/333 |
j-invariant |
L |
4.9698515568795 |
L(r)(E,1)/r! |
Ω |
1.2950315186276 |
Real period |
R |
0.63960496783777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
444a1 |
Quadratic twists by: -11 |