Atkin-Lehner |
2- 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100572c |
Isogeny class |
Conductor |
100572 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-21467658810956544 = -1 · 28 · 35 · 177 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 -3 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,58571,-4483439] |
[a1,a2,a3,a4,a6] |
j |
3596091392/3474171 |
j-invariant |
L |
2.5037364824148 |
L(r)(E,1)/r! |
Ω |
0.20864470922621 |
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 |
5916d1 |
Quadratic twists by: 17 |