Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45024m |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
64317387681792 = 212 · 314 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20769,-1092465] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:252:1] |
Generators of the group modulo torsion |
j |
241897529922112/15702487227 |
j-invariant |
L |
5.3630561295778 |
L(r)(E,1)/r! |
Ω |
0.39930942194848 |
Real period |
R |
0.95934485081257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024k2 90048bg1 |
Quadratic twists by: -4 8 |