Atkin-Lehner |
5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71825r |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
1915437699248125 = 54 · 139 · 172 |
Discriminant |
Eigenvalues |
2 -1 5- 2 4 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-35208,1437243] |
[a1,a2,a3,a4,a6] |
Generators |
[3114:54583:8] |
Generators of the group modulo torsion |
j |
1600000000/634933 |
j-invariant |
L |
11.91351983158 |
L(r)(E,1)/r! |
Ω |
0.42517428143142 |
Real period |
R |
3.5025401206984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71825j1 5525k1 |
Quadratic twists by: 5 13 |