Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45024i |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1089220608 = 212 · 34 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273,801] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:36:1] |
Generators of the group modulo torsion |
j |
551368000/265923 |
j-invariant |
L |
4.9573846293692 |
L(r)(E,1)/r! |
Ω |
1.3801223142332 |
Real period |
R |
0.89799733296208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024c2 90048y1 |
Quadratic twists by: -4 8 |