Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240cd |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
2462400 = 26 · 34 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-50] |
[a1,a2,a3,a4,a6] |
Generators |
[15:50:1] |
Generators of the group modulo torsion |
j |
113379904/38475 |
j-invariant |
L |
4.0656351057401 |
L(r)(E,1)/r! |
Ω |
1.9465130020629 |
Real period |
R |
2.0886760588968 |
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 |
18240ct1 9120h2 54720dn1 91200hp1 |
Quadratic twists by: -4 8 -3 5 |