Atkin-Lehner |
2- 3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23010p |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-22215660644531250 = -1 · 2 · 33 · 512 · 134 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38021,7714851] |
[a1,a2,a3,a4,a6] |
j |
-6078480552318475729/22215660644531250 |
j-invariant |
L |
4.0029459693406 |
L(r)(E,1)/r! |
Ω |
0.33357883077839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69030p3 115050h3 |
Quadratic twists by: -3 5 |