Atkin-Lehner |
3- 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27531c |
Isogeny class |
Conductor |
27531 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2462598917289 = 36 · 72 · 194 · 232 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24918,1518335] |
[a1,a2,a3,a4,a6] |
Generators |
[122:-593:1] |
Generators of the group modulo torsion |
j |
2347175330898273/3378050641 |
j-invariant |
L |
3.9665430541094 |
L(r)(E,1)/r! |
Ω |
0.81350791076064 |
Real period |
R |
1.218962655938 |
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 |
3059a2 |
Quadratic twists by: -3 |