Atkin-Lehner |
2- 3+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10578f |
Isogeny class |
Conductor |
10578 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51296 |
Modular degree for the optimal curve |
Δ |
-454854 = -1 · 2 · 3 · 41 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 2 -1 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-346924,78505619] |
[a1,a2,a3,a4,a6] |
Generators |
[2606:2219:8] |
Generators of the group modulo torsion |
j |
-4617711815194147190977/454854 |
j-invariant |
L |
6.9493381292504 |
L(r)(E,1)/r! |
Ω |
1.1539172035886 |
Real period |
R |
3.0111944373644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84624r1 31734h1 |
Quadratic twists by: -4 -3 |