Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
72216s |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-307235126573927424 = -1 · 210 · 36 · 178 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 6 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1051443,-415835586] |
[a1,a2,a3,a4,a6] |
Generators |
[413245:2790584:343] |
Generators of the group modulo torsion |
j |
-172208042161338564/411569689019 |
j-invariant |
L |
6.0030504593381 |
L(r)(E,1)/r! |
Ω |
0.074535117908238 |
Real period |
R |
5.0337433444973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8024b1 |
Quadratic twists by: -3 |