Atkin-Lehner |
2- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
44890n |
Isogeny class |
Conductor |
44890 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
179560 = 23 · 5 · 672 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60,-203] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] [70:13:8] |
Generators of the group modulo torsion |
j |
5326969/40 |
j-invariant |
L |
11.058403652141 |
L(r)(E,1)/r! |
Ω |
1.7160133105133 |
Real period |
R |
2.1480803954903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44890a1 |
Quadratic twists by: -67 |