Atkin-Lehner |
2+ 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70992b |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-42230585088 = -1 · 28 · 39 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-351,10206] |
[a1,a2,a3,a4,a6] |
j |
-949104/8381 |
j-invariant |
L |
1.9554197514823 |
L(r)(E,1)/r! |
Ω |
0.97770986629711 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35496f1 70992a1 |
Quadratic twists by: -4 -3 |