Atkin-Lehner |
5- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10105b |
Isogeny class |
Conductor |
10105 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2080 |
Modular degree for the optimal curve |
Δ |
-2374675 = -1 · 52 · 43 · 472 |
Discriminant |
Eigenvalues |
2 -2 5- -2 1 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-90,-369] |
[a1,a2,a3,a4,a6] |
Generators |
[170:701:8] |
Generators of the group modulo torsion |
j |
-81520685056/2374675 |
j-invariant |
L |
6.0475825372791 |
L(r)(E,1)/r! |
Ω |
0.77296907310005 |
Real period |
R |
1.955958765926 |
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 |
90945d1 50525c1 |
Quadratic twists by: -3 5 |