Atkin-Lehner |
2- 3- 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370s |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-1312055366400000 = -1 · 211 · 36 · 55 · 193 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2539476,-1557842544] |
[a1,a2,a3,a4,a6] |
j |
-1811156843149578655242049/1312055366400000 |
j-invariant |
L |
3.9466393944239 |
L(r)(E,1)/r! |
Ω |
0.05979756658218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70110v1 116850f1 |
Quadratic twists by: -3 5 |