Atkin-Lehner |
2- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72896p |
Isogeny class |
Conductor |
72896 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-83770916864 = -1 · 214 · 17 · 673 |
Discriminant |
Eigenvalues |
2- 1 2 -4 3 4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1157,20195] |
[a1,a2,a3,a4,a6] |
Generators |
[14410:126655:1331] |
Generators of the group modulo torsion |
j |
-10463552512/5112971 |
j-invariant |
L |
8.4221312047817 |
L(r)(E,1)/r! |
Ω |
1.0068663408967 |
Real period |
R |
8.3646963484978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72896i1 18224c1 |
Quadratic twists by: -4 8 |