Atkin-Lehner |
2- 3+ 5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107010o |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
477568 |
Modular degree for the optimal curve |
Δ |
-20545920000000 = -1 · 213 · 33 · 57 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -3 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5417,268009] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-484:1] [-73:556:1] |
Generators of the group modulo torsion |
j |
-650970474102963/760960000000 |
j-invariant |
L |
15.899903946619 |
L(r)(E,1)/r! |
Ω |
0.61841185379049 |
Real period |
R |
0.14126849135194 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107010a1 |
Quadratic twists by: -3 |