Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600cd |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
89229600000000 = 211 · 38 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162075,-25110250] |
[a1,a2,a3,a4,a6] |
Generators |
[12610:482375:8] |
Generators of the group modulo torsion |
j |
20183398562/3825 |
j-invariant |
L |
6.1603687310531 |
L(r)(E,1)/r! |
Ω |
0.23794439878052 |
Real period |
R |
6.4724876511332 |
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 |
61200bk2 10200g2 6120h2 |
Quadratic twists by: -4 -3 5 |