Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85652j |
Isogeny class |
Conductor |
85652 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
-109281004989184 = -1 · 28 · 76 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 0 -1 7- -1 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195608,-33302556] |
[a1,a2,a3,a4,a6] |
Generators |
[512:874:1] |
Generators of the group modulo torsion |
j |
-27482443554816/3628411 |
j-invariant |
L |
4.4704216459889 |
L(r)(E,1)/r! |
Ω |
0.1135061689981 |
Real period |
R |
2.1880463444724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1748c1 |
Quadratic twists by: -7 |