Atkin-Lehner |
3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675n |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-92664535278375 = -1 · 39 · 53 · 172 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 -4 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15432,875051] |
[a1,a2,a3,a4,a6] |
Generators |
[50:451:1] |
Generators of the group modulo torsion |
j |
-165198036303/37662769 |
j-invariant |
L |
7.5289006262924 |
L(r)(E,1)/r! |
Ω |
0.57492347595062 |
Real period |
R |
3.2738707588719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72675j1 72675k1 |
Quadratic twists by: -3 5 |