Atkin-Lehner |
2+ 7+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10234c |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
-34918080512 = -1 · 213 · 73 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ -3 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,230,8908] |
[a1,a2,a3,a4,a6] |
j |
1354000227047/34918080512 |
j-invariant |
L |
1.7443072910356 |
L(r)(E,1)/r! |
Ω |
0.8721536455178 |
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 |
81872bk1 92106bq1 71638b1 |
Quadratic twists by: -4 -3 -7 |