Atkin-Lehner |
2+ 3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
72504k |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
293895281857536 = 210 · 37 · 195 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 0 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21963,-942986] |
[a1,a2,a3,a4,a6] |
Generators |
[167:216:1] |
Generators of the group modulo torsion |
j |
1569535748644/393699741 |
j-invariant |
L |
5.3895978032839 |
L(r)(E,1)/r! |
Ω |
0.39939396588793 |
Real period |
R |
3.3736099337565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168n1 |
Quadratic twists by: -3 |