Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530t |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
741529687500 = 22 · 37 · 58 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-125109,17063865] |
[a1,a2,a3,a4,a6] |
Generators |
[-264:5757:1] |
Generators of the group modulo torsion |
j |
297073419162439249/1017187500 |
j-invariant |
L |
3.9952976282022 |
L(r)(E,1)/r! |
Ω |
0.78752402407122 |
Real period |
R |
1.2683097613797 |
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 |
6510t3 97650dr4 |
Quadratic twists by: -3 5 |