Atkin-Lehner |
2+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24674b |
Isogeny class |
Conductor |
24674 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
100320 |
Modular degree for the optimal curve |
Δ |
-717514955196416 = -1 · 211 · 132 · 735 |
Discriminant |
Eigenvalues |
2+ 0 1 1 6 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9686,1233012] |
[a1,a2,a3,a4,a6] |
j |
594627760219311/4245650622464 |
j-invariant |
L |
1.8470751573639 |
L(r)(E,1)/r! |
Ω |
0.36941503147272 |
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 |
24674h1 |
Quadratic twists by: 13 |