Atkin-Lehner |
5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
775a |
Isogeny class |
Conductor |
775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-2421875 = -1 · 57 · 31 |
Discriminant |
Eigenvalues |
0 1 5+ 0 -4 6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33,94] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:12:1] |
Generators of the group modulo torsion |
j |
-262144/155 |
j-invariant |
L |
2.2177911110084 |
L(r)(E,1)/r! |
Ω |
2.3905216901789 |
Real period |
R |
0.46387178165333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12400w1 49600h1 6975e1 155c1 |
Quadratic twists by: -4 8 -3 5 |