Atkin-Lehner |
3- 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
95475p |
Isogeny class |
Conductor |
95475 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-3551018987302734375 = -1 · 310 · 59 · 193 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-660513,225580392] |
[a1,a2,a3,a4,a6] |
Generators |
[861:16755:1] |
Generators of the group modulo torsion |
j |
-16316906436145853/1818121721499 |
j-invariant |
L |
3.3133612381899 |
L(r)(E,1)/r! |
Ω |
0.24314266840653 |
Real period |
R |
0.45424102466444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791483 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95475c1 |
Quadratic twists by: 5 |