Atkin-Lehner |
2+ 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504o |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-417640663692288 = -1 · 210 · 310 · 194 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,429,-983234] |
[a1,a2,a3,a4,a6] |
Generators |
[326:5814:1] |
Generators of the group modulo torsion |
j |
11696828/559468053 |
j-invariant |
L |
5.2140394136488 |
L(r)(E,1)/r! |
Ω |
0.2446333381188 |
Real period |
R |
2.6642113935839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24168v3 |
Quadratic twists by: -3 |