Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18600a |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1329870240000000 = 211 · 32 · 57 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56008,-4771988] |
[a1,a2,a3,a4,a6] |
Generators |
[7146:205075:8] |
Generators of the group modulo torsion |
j |
607199886722/41558445 |
j-invariant |
L |
4.1840502229791 |
L(r)(E,1)/r! |
Ω |
0.31167543600498 |
Real period |
R |
6.7121911765165 |
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 |
37200u3 55800bn3 3720g3 |
Quadratic twists by: -4 -3 5 |