Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640j |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
1066240 = 28 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 6 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,28] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
193536/85 |
j-invariant |
L |
4.0008257440087 |
L(r)(E,1)/r! |
Ω |
2.4861220773811 |
Real period |
R |
1.6092635919947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33320m1 66640l1 |
Quadratic twists by: -4 -7 |