Atkin-Lehner |
2- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63920o |
Isogeny class |
Conductor |
63920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-20454400000000 = -1 · 216 · 58 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13067,-614726] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1312:1] |
Generators of the group modulo torsion |
j |
-60240898037601/4993750000 |
j-invariant |
L |
5.9858075289531 |
L(r)(E,1)/r! |
Ω |
0.22221361580721 |
Real period |
R |
3.3671471410125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990g1 |
Quadratic twists by: -4 |