Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45024l |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
88226869248 = 212 · 38 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17617,894047] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:1188:1] |
Generators of the group modulo torsion |
j |
147633283494208/21539763 |
j-invariant |
L |
8.8946391588174 |
L(r)(E,1)/r! |
Ω |
1.0381248679601 |
Real period |
R |
2.1419964575887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45024b4 90048e1 |
Quadratic twists by: -4 8 |