Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486h |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1532639634663312 = 24 · 37 · 72 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34182,1547748] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:1641:1] |
Generators of the group modulo torsion |
j |
128787625/44688 |
j-invariant |
L |
4.1025923437487 |
L(r)(E,1)/r! |
Ω |
0.43782530454594 |
Real period |
R |
0.58564915919948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162bd1 2394j1 |
Quadratic twists by: -3 -19 |