Atkin-Lehner |
2+ 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150k |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26012396484375000 = 23 · 3 · 512 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7680400,8189437000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2755:93290:1] [1545:2990:1] |
Generators of the group modulo torsion |
j |
3206677550038752561409/1664793375000 |
j-invariant |
L |
6.208001942857 |
L(r)(E,1)/r! |
Ω |
0.30857238213501 |
Real period |
R |
2.5148078304612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030t2 |
Quadratic twists by: 5 |