Atkin-Lehner |
2- 3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23460m |
Isogeny class |
Conductor |
23460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-623754480 = -1 · 24 · 3 · 5 · 173 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -5 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110,1245] |
[a1,a2,a3,a4,a6] |
j |
-9283760896/38984655 |
j-invariant |
L |
2.8305172152683 |
L(r)(E,1)/r! |
Ω |
1.4152586076341 |
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 |
93840bn1 70380bg1 117300h1 |
Quadratic twists by: -4 -3 5 |