Atkin-Lehner |
5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10045f |
Isogeny class |
Conductor |
10045 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-5432052632904296875 = -1 · 59 · 79 · 413 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- -2 6 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-302183,-129081962] |
[a1,a2,a3,a4,a6] |
j |
-75622570831872/134611328125 |
j-invariant |
L |
0.76861506947008 |
L(r)(E,1)/r! |
Ω |
0.09607688368376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405bw1 50225f1 10045m1 |
Quadratic twists by: -3 5 -7 |