Atkin-Lehner |
5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1595c |
Isogeny class |
Conductor |
1595 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
-7975 = -1 · 52 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 -2 5- -2 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
13651919/7975 |
j-invariant |
L |
1.2776158860388 |
L(r)(E,1)/r! |
Ω |
2.4490500146432 |
Real period |
R |
1.0433563041994 |
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 |
25520p1 102080c1 14355c1 7975c1 |
Quadratic twists by: -4 8 -3 5 |