Atkin-Lehner |
2+ 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150w |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9707250 = 2 · 3 · 53 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1115,13875] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:125:1] [21:6:1] |
Generators of the group modulo torsion |
j |
1228136830829/77658 |
j-invariant |
L |
5.9449997617662 |
L(r)(E,1)/r! |
Ω |
2.1794263401185 |
Real period |
R |
2.7277819178057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45150db2 |
Quadratic twists by: 5 |