Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648bg |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
28392920865792 = 210 · 310 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90156891,329493236294] |
[a1,a2,a3,a4,a6] |
Generators |
[5806:41958:1] |
Generators of the group modulo torsion |
j |
108565792763559443208292/38034927 |
j-invariant |
L |
4.2525570550543 |
L(r)(E,1)/r! |
Ω |
0.2775038390146 |
Real period |
R |
1.2770264939261 |
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 |
37296q4 6216g3 |
Quadratic twists by: -4 -3 |