Atkin-Lehner |
2- 3+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
60876f |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
39744 |
Modular degree for the optimal curve |
Δ |
263714832 = 24 · 33 · 193 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -6 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1845,30493] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:57:1] |
Generators of the group modulo torsion |
j |
1607789088000/610451 |
j-invariant |
L |
4.5563082986582 |
L(r)(E,1)/r! |
Ω |
1.7140047552623 |
Real period |
R |
1.3291410904115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997777 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
60876h2 |
Quadratic twists by: -3 |