Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700bf |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-10363500000000 = -1 · 28 · 32 · 59 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 7 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,867,154863] |
[a1,a2,a3,a4,a6] |
j |
17997824/2590875 |
j-invariant |
L |
4.4507964158108 |
L(r)(E,1)/r! |
Ω |
0.55634954129553 |
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 |
19740g1 |
Quadratic twists by: 5 |