Atkin-Lehner |
2+ 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504g |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
1075713426432 = 210 · 39 · 19 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 2 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2811,28294] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:288:1] [71:432:1] |
Generators of the group modulo torsion |
j |
3290627812/1441017 |
j-invariant |
L |
9.8547657107126 |
L(r)(E,1)/r! |
Ω |
0.78584387738272 |
Real period |
R |
3.1350901859483 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24168q1 |
Quadratic twists by: -3 |