Atkin-Lehner |
2+ 3- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530k |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
5.2857819818046E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1488825,605807725] |
[a1,a2,a3,a4,a6] |
Generators |
[-551790:-25994825:729] |
Generators of the group modulo torsion |
j |
500642029281144301201/72507297418444800 |
j-invariant |
L |
5.53565758156 |
L(r)(E,1)/r! |
Ω |
0.19152851918182 |
Real period |
R |
7.2256309481465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510l1 |
Quadratic twists by: -3 |