Atkin-Lehner |
3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7755f |
Isogeny class |
Conductor |
7755 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
85305 = 3 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11- 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11,0] |
[a1,a2,a3,a4,a6] |
Generators |
[9:21:1] |
Generators of the group modulo torsion |
j |
148035889/85305 |
j-invariant |
L |
3.4134721320117 |
L(r)(E,1)/r! |
Ω |
2.9038175733788 |
Real period |
R |
2.3510238131384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080be1 23265s1 38775e1 85305s1 |
Quadratic twists by: -4 -3 5 -11 |