Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
60876c |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-11688192 = -1 · 28 · 33 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -3 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15,166] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] |
Generators of the group modulo torsion |
j |
-54000/1691 |
j-invariant |
L |
6.0681363398551 |
L(r)(E,1)/r! |
Ω |
1.8885691860256 |
Real period |
R |
1.6065432986013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60876a1 |
Quadratic twists by: -3 |