Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240cu |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-56033280 = -1 · 216 · 32 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,95] |
[a1,a2,a3,a4,a6] |
Generators |
[53:396:1] |
Generators of the group modulo torsion |
j |
1431644/855 |
j-invariant |
L |
6.8563218111968 |
L(r)(E,1)/r! |
Ω |
1.2139319385683 |
Real period |
R |
2.8240140955855 |
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 |
18240s1 4560b1 54720dv1 91200gb1 |
Quadratic twists by: -4 8 -3 5 |