Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240j |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
2462400 = 26 · 34 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-636,6390] |
[a1,a2,a3,a4,a6] |
j |
445243675456/38475 |
j-invariant |
L |
2.4605359734743 |
L(r)(E,1)/r! |
Ω |
2.4605359734743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240be1 9120q3 54720ck1 91200ec1 |
Quadratic twists by: -4 8 -3 5 |