Atkin-Lehner |
2+ 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56168a |
Isogeny class |
Conductor |
56168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-30208498432 = -1 · 28 · 76 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 5 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,727,-3859] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1029:1] |
Generators of the group modulo torsion |
j |
165763712000/118001947 |
j-invariant |
L |
9.6184031015486 |
L(r)(E,1)/r! |
Ω |
0.66202896242784 |
Real period |
R |
1.8160842741464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112336d1 |
Quadratic twists by: -4 |