Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320f |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
73159430400 = 28 · 32 · 52 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1260,11700] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:168:1] |
Generators of the group modulo torsion |
j |
864848456656/285779025 |
j-invariant |
L |
4.671505322598 |
L(r)(E,1)/r! |
Ω |
1.0067119330757 |
Real period |
R |
1.1600898849797 |
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 |
38640y2 57960bq2 96600bz2 |
Quadratic twists by: -4 -3 5 |