Atkin-Lehner |
2- 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504u |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
563791104 = 28 · 37 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 1 6 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2199,39674] |
[a1,a2,a3,a4,a6] |
Generators |
[25:18:1] |
Generators of the group modulo torsion |
j |
6301325392/3021 |
j-invariant |
L |
6.0018913695536 |
L(r)(E,1)/r! |
Ω |
1.6145392028492 |
Real period |
R |
0.2323376291419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168a1 |
Quadratic twists by: -3 |