Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530cd |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
494321486400 = 26 · 38 · 52 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2462,33261] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:279:1] |
Generators of the group modulo torsion |
j |
2263054145689/678081600 |
j-invariant |
L |
7.9728372106515 |
L(r)(E,1)/r! |
Ω |
0.86405644082039 |
Real period |
R |
0.76893483978523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6510b2 97650bw2 |
Quadratic twists by: -3 5 |