Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840bh |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-9.6776661277998E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,281892,1495620932] |
[a1,a2,a3,a4,a6] |
j |
74251994112/29007265625 |
j-invariant |
L |
0.97304301520838 |
L(r)(E,1)/r! |
Ω |
0.12163037737321 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680e1 60840e1 4680d1 |
Quadratic twists by: -4 -3 13 |