Atkin-Lehner |
2+ 3- 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32190m |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
53572367419920000 = 27 · 32 · 54 · 29 · 376 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12370168,16744980806] |
[a1,a2,a3,a4,a6] |
Generators |
[1780:18257:1] |
Generators of the group modulo torsion |
j |
209339149410817678724092921/53572367419920000 |
j-invariant |
L |
5.7663469875399 |
L(r)(E,1)/r! |
Ω |
0.28297401735967 |
Real period |
R |
1.698137942529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96570n2 |
Quadratic twists by: -3 |