Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450bh |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30640895156250 = 2 · 314 · 57 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3228012005,70592049371747] |
[a1,a2,a3,a4,a6] |
Generators |
[113392928470368408534:-56443379066023481707:3456786898454408] |
Generators of the group modulo torsion |
j |
326573981641149886485204481/2690010 |
j-invariant |
L |
7.5912973186337 |
L(r)(E,1)/r! |
Ω |
0.14742010828992 |
Real period |
R |
25.747156906521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6150n7 3690d7 |
Quadratic twists by: -3 5 |