Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72540a |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1279872 |
Modular degree for the optimal curve |
Δ |
99153112500000000 = 28 · 39 · 511 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -6 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1445688,668880612] |
[a1,a2,a3,a4,a6] |
Generators |
[672:918:1] |
Generators of the group modulo torsion |
j |
66315673215295488/19677734375 |
j-invariant |
L |
5.6353794108596 |
L(r)(E,1)/r! |
Ω |
0.3293626526966 |
Real period |
R |
2.8516587833825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72540h1 |
Quadratic twists by: -3 |