Atkin-Lehner |
5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71825q |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
140400 |
Modular degree for the optimal curve |
Δ |
-32053028515625 = -1 · 58 · 136 · 17 |
Discriminant |
Eigenvalues |
-1 -1 5- -1 4 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12763,612906] |
[a1,a2,a3,a4,a6] |
Generators |
[204:2457:1] |
Generators of the group modulo torsion |
j |
-121945/17 |
j-invariant |
L |
3.4308191488128 |
L(r)(E,1)/r! |
Ω |
0.63658040806481 |
Real period |
R |
5.3894513666801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71825b1 425b1 |
Quadratic twists by: 5 13 |