Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928dc |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2537472 |
Modular degree for the optimal curve |
Δ |
-61614864361193472 = -1 · 217 · 39 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12090060,-16180461936] |
[a1,a2,a3,a4,a6] |
j |
-75754399836615750/23882747 |
j-invariant |
L |
2.2669936482428 |
L(r)(E,1)/r! |
Ω |
0.040482044389986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928h1 29232c1 116928cy1 |
Quadratic twists by: -4 8 -3 |