Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
72216r |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-198882864 = -1 · 24 · 36 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 0 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198,1269] |
[a1,a2,a3,a4,a6] |
Generators |
[10:17:1] |
Generators of the group modulo torsion |
j |
-73598976/17051 |
j-invariant |
L |
5.2717977189126 |
L(r)(E,1)/r! |
Ω |
1.7051679501167 |
Real period |
R |
0.77291473232748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8024c1 |
Quadratic twists by: -3 |