Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1085c |
Isogeny class |
Conductor |
1085 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
-37975 = -1 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11,16] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
-148035889/37975 |
j-invariant |
L |
1.1297807113576 |
L(r)(E,1)/r! |
Ω |
3.4704797601296 |
Real period |
R |
0.32554021041616 |
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 |
17360r1 69440bz1 9765n1 5425b1 |
Quadratic twists by: -4 8 -3 5 |