Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062bi |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
6365620374686244 = 22 · 38 · 74 · 192 · 234 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-466646,-122518879] |
[a1,a2,a3,a4,a6] |
Generators |
[-3138:3455:8] |
Generators of the group modulo torsion |
j |
15415512004366353433/8731989540036 |
j-invariant |
L |
9.1904518383476 |
L(r)(E,1)/r! |
Ω |
0.18267011658842 |
Real period |
R |
3.1444838960112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18354i2 |
Quadratic twists by: -3 |