Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
60876k |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-1597629744 = -1 · 24 · 310 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 3 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-876,-10163] |
[a1,a2,a3,a4,a6] |
Generators |
[274:27:8] |
Generators of the group modulo torsion |
j |
-6373654528/136971 |
j-invariant |
L |
7.4102252769107 |
L(r)(E,1)/r! |
Ω |
0.43821880875258 |
Real period |
R |
4.2274687490732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292g1 |
Quadratic twists by: -3 |