Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648c |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3246257285655552 = -1 · 210 · 39 · 76 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -2 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113643,14998230] |
[a1,a2,a3,a4,a6] |
Generators |
[535:10360:1] |
Generators of the group modulo torsion |
j |
-8053052543532/161061481 |
j-invariant |
L |
6.1250342804789 |
L(r)(E,1)/r! |
Ω |
0.44784424170466 |
Real period |
R |
3.4191766411715 |
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 |
37296e2 18648s2 |
Quadratic twists by: -4 -3 |